In a school, the number of girls is 70 more than boys. the total number of students is 1280. find the number of girls and boys simple equations

Answers

Answer 1

Answer:

Boys = 605

Girls = 675

Step-by-step explanation:

Let x be the number of boys in school.

So, girls = (x+70)

Total no. of students = 1280

x + x + 70 = 1280

2x + 70 = 1280

2x = 1280 - 70

2x = 1210

x = 1210/2

x = 605

Hence, no. of boys = 605

no. of girls = 605 + 70 = 675


Related Questions

help honestly MARKING BRAINLIESt

Answers

Answer:

See below ~

Step-by-step explanation:

a) Forming the equation :

⇒ We start with a number, x

⇒ Now we double it so : 2(x) = 2x

⇒ Then we add 11 to it : 2x + (11) = 2x + 11

⇒ It is equal to 25 : 2x + 11 = 25

b) Solving the equation :

Subtract 11 from both sides :

⇒ 2x + 11 - 11 = 25 - 11

⇒ 2x = 14

Divide 2 on both sides :

⇒ 2x/2 = 14/2

x = 7

Let unknown number be x

Double it

2x

Add eleven

2x+11

You got 25

2x+11=25

Lets solve the equation

2x=25-112x=14x=7

Which is equivalent to 4√9 1/2x?

Answers

Answer:

second branch..................

Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the preserved

Answers

The transformation is nonrigid because the segment lengths are not preserved.

How to determine the transformation?

The image related to the question cannot be found. However, the question can still be solved

The given parameters are:

Triangle 1: 6, 10 and 8Triangle 2: 3, 5 and 4

From the question, we understand that the side lengths are not equal.

This means that the triangles are dilated.

And the scale factor of dilation is

Scale factor = 6/3 = 10/5 = 8/4

Scale factor = 2

The scale factor of dilation is 2

Dilation is a non rigid transformation.

Hence, the transformation is nonrigid because the segment lengths are not preserved.

Read more about dilation at:

https://brainly.com/question/3457976

#SPJ1

Answer:

The transformation is nonrigid because the segment lengths are not preserved.

Which expression is equivalent to startfraction (4 p superscript negative 4 baseline q) superscript negative 2 baseline over 10 p q superscript negative 3 baseline endfraction? assume p not-equals 0, q not-equals 0.

Answers

The given expression is equivalent to [tex]\frac{p^{7}q}{160}[/tex]

What are indices?

An index is a small number that tells us how many times a term has been multiplied by itself.

The plural of index is indices.

Below is an example of a term written in index form :[tex]4^{3}[/tex]

4 is the base and 3 is the index.

We can read this as ‘4 to the power 3’

Another way of expressing [tex]4^{3}[/tex] is

4 x 4 x 4 = 64

Indices can be positive or negative numbers.

Given expression can be written as [tex]\frac{({4p^{-4}q})^{-2}}{10pq^{-3}}[/tex]

Now to simplify the given fractional expression :[tex]\frac{({4p^{-4}q})^{-2}}{10pq^{-3}}[/tex]

=   [tex]\frac{4^{-2}p^{8}q^{-2}}{10pq^{-3}}[/tex]                    By using the property of exponents is given by:

                                    [tex](a^{m})^{n}=a^{m n}[/tex]

=[tex]\frac{p^{7}q}{10 .16}[/tex]                              By using the property of exponents given by

                                       [tex]a^{m}a^{n}=a^{m + n}[/tex]  and  [tex]a^{-m}= \frac{1}{a^{m}}[/tex]

= [tex]\frac{p^{7}q}{160}[/tex]

Learn about indices here :

https://brainly.com/question/27327380

#SPJ4

Given the following exponential function,
identify whether the change represents
growth or decay, and determine the
percentage rate of increase or decrease.
y = 4300(0.042)
X

Answers

The change is decay and the percentage rate of decrease will be 95%.

An exponential function is a function where a number is raised to the variable i.e. base is raised to the exponent times.

Here given the exponential function is y= 4300(0.042)ˣ

Now we have to identify if the change in exponential function represents growth or decay, and have to determine the percentage rate of increase or decrease.

Here in the exponential function, the base is less than 1 so the change is decay.

The equation represents exponential decay because the decay factor is lesser than 1.

The general form of the exponential equation is:

y(x)= a(1-r)ˣ such that r is the decay.

equating with the equation

y= 4300(0.042)ˣ

a= 4300

and 1-r=0.042

⇒r= 1-0.042

⇒r= 0.958

the perecentage of decay will be r*100= 0.958*100= 95%

Therefore the change is decay and the percentage rate of decrease will be 95%.

Learn more about exponential function

here: https://brainly.com/question/2046253

#SPJ10

what function does this graph represent?

Answers

Answer:

D

Step-by-step explanation:

The vertex is at (-2,4), so substituting into vertex form, only C and D match.

Also, the graph opens down, so the coefficient of x² is negative.

This eliminates C, leaving us with D

If a^2 and b are directly proportional, and a=2 when b=9, then what is b when a=6?

Answers

Answer:

b = 81

Step-by-step explanation:

given a² and b are directly proportional then the equation relating them is

a² = kb ← k is the constant of proportionality

to find k use the condition a = 2 when b = 9 , then

2² = 9k

4 = 9k ( divide both sides by 9 )

[tex]\frac{4}{9}[/tex] = k

a² = [tex]\frac{4}{9}[/tex] b ← equation of proportion

when a = 6 , then

6² = [tex]\frac{4}{9}[/tex] b

36 = [tex]\frac{4}{9}[/tex] b ( multiply both sides by 9 to clear the fraction )

324 = 4b ( divide both sides by 4 )

81 = b

A driver travels the first 240 km of a 600-km journey at an average speed of 60 km/h. If the time taken for the whole journey is 8 hours 48 minutes, find the average speed for the remaining journey.

Answers

Step-by-step explanation:

1)Take the time he is traveling divided by the speed to get the time.

2)Subract the time you have got from the average time,then subtract the average distance from the traveling distance,then divide the two to get the speed.

3)Take the total distance, divide it by the total time to get the average speed.

For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?
for the point (16,12) find sin theta and cos theta

Answers

Answer:

sinθ = 3/5cosθ = 4/5

Given Point (16, 12)

To find Sine and cosine of the angle, using the given coordinates

Solution

Since both of the coordinates are positive, we have:

the angle θ is in the first quadrant, both sine and cosine have positive values;the x-coordinate determines the value of adjacent leg;the y-coordinate determines the value of opposite leg.

Find the hypotenuse of the right triangle using values of both legs:

[tex]h=\sqrt{ x^2+y^2}=\sqrt{16^2+12^2}= \sqrt{400} =20[/tex]

Find sine:

sine = opposite/hypotenusesinθ = 12/20 = 3/5

Find cosine:

cosine = adjacent/hypotenusecosθ = 16/20 = 4/5

What is the value of m, when 2⁶ x 4 = 418​

Answers

Answer:

The answer should be 3.3/4

Step-by-step explanation:

Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a .
Triangle X′Y′Z′ then undergoes a transformation to form triangle X′′Y′′Z′′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4). The type of transformation that triangle X′Y′Z′ undergoes is a .

Answers

Using translation concepts, it is found that the type of transformation that triangle X′Y′Z′ undergoes is a reflection over the x-axis.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

From triangle X′Y′Z′ to triangle X′′Y′′Z′′, the rule is given by:

(x,y) -> (x, -y)

Hence the type of transformation that triangle X′Y′Z′ undergoes is a reflection over the x-axis.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

perimeter =
help me please thank u :)​

Answers

Answer:

[tex]\fbox {Perimeter = 37.92}[/tex]

Step-by-step explanation:

Finding the missing side :

⇒ Take the tan value of the listed angle

⇒ tan 60° = √3 = 6/x

⇒ x = 6/√3 × √3/√3 = 2√3 = 2(1.73) = 3.46

Solving :

⇒ Perimeter = 10 + 2(6 + 3.46)

⇒ Perimeter = 10 + 2(9.46)

⇒ Perimeter = 19 + 18.92

⇒ Perimeter = 37.92

Find the simplified product. b-5/2b X b^2+3b/b-5

Answers

The simplified product of [tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5}[/tex] is [tex]\frac{(b+3)}{2}[/tex]

How to simplify a product?

The products can be simplified as follows;

Multiplying fraction,

[tex]\frac{x}{y} . \frac{a}{b} = \frac{xa}{yb}[/tex]

Therefore,

[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)}[/tex]

Hence,

Let's reduce the fraction by dividing

[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)} = \frac{(b^{2}+3b )}{(2b)}[/tex]

Therefore,

[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)} = \frac{(b^{2}+3b )}{(2b)} = \frac{(b(b+3))}{2b}[/tex]

Hence,

[tex]\frac{b- 5}{2b} X \frac{b^{2} + 3b }{b - 5} = \frac{(b-5)(b^{2} + 3b )}{(2b)(b-5)} = \frac{(b^{2}+3b )}{(2b)} = \frac{(b(b+3))}{2b} = \frac{b+3}{2}[/tex]

learn more on simplification here: https://brainly.com/question/3306438

#SPJ1

Answer:

A, b+3/2

Step-by-step explanation:

how do u order decimals ??

Answers

Answer:

To order decimals, you first need a range of values.

Step-by-step explanation:

For example, if there are 5 values: 0.25, 0.87,0.19,0.89 and 0.98

First, look at the first digit after the decimal. The smallest digit is the smallest so far. In this case, it is 0.19 as '1' was the smallest digit. Second would be 0.25 because 2 is the second smallest digit here.

Now, we have 3 remaining numbers: 0.87, 0.89 and 0.98

You can notice that both 0.87 and 0.89 have the same first digit after the decimal.

Do fix this problem, look at the second digit and decide the smallest one. In this case, it is 0.87.

This means the order will go like this if it is smallest to largest: 0.19, 0.25, 0.87, 0.89, 0.98.

If it is largest to smallest, do it the other way around.

Hope this helped!

HELP MOI
MATH WORK=IMPOSSIBLE
PLEASE

Answers

Answer:

-32/21

Step-by-step explanation:

First, we can convert -0.35 into a fraction: -35/100, which could be further simplified to -7/20.
Dividing a fraction by another is the same thing as multiplying a fraction by the reciprocal (denominator over numerator) of the fraction. Therefore, we can rewrite this expression as: 8/15 * -20/7
To find the answer to that, you simply multiply the numerators together and the denominators together separately. The final answer is -32/21.

Answer:

-1 11/21

First step:

First, you change the decimal into a fraction. To do that you look at the decimal place at the end of -0.35. The decimal place is hundredths. That means the fraction form of -0.35 is -35/100.

Now to simplify it just find out what both the numbers can be divided by. In this case, 35 and 100 can be divided by 5. If you divide them both by 5 you get -7/20

Fraction form: -7/20

Second step:

Now you just plug it in to the equation.

8/15÷(-7/20)

To solve this you need to change it to multiplication and flip the second fraction.

8/15×(-20/7)

Final step:

Now you multiply the fractions.

8/15×(-20/7)= -32/21 or -1 11/21

Final answer: -1 11/21

constant equality 123

Answers

Answer:

using the identity (a±b) ² = a² + b² ± 2ab

1) X² + 1 - 2X

2).x² + 4 - 4x

3) 9 + x² - 6x

4) y² + 16 - 8y

5) 4x² + 1 - 4x

6) 9 + 4y² - 6y

7) 4x² + y²- 8y

8) 1 + 16a² - 8a

9) 9x²+ 4y² - 12xy

10) -x²- 16y² + 8y

11) -x²- 25y + 10xy

hello guys, can you give me the answers​

Answers

The differentiation of the function y = sin(2 sin⁻¹x) is; dy/dx = d√(1 - y²)]/(√1 - x²)

How to differentiate functions?

1) We want to differentiate the function;

[tex]\frac{\sqrt{x + 1} + \sqrt{x - 1}}{\sqrt{x + 1} - \sqrt{x - 1} }[/tex]

Differentiating this gives;

dy/dx = [tex]\frac{[(\frac{1}{2\sqrt{x + 1}} - \frac{1}{2\sqrt{x - 1}}) * \sqrt{x + 1} + \sqrt{x - 1}]}{(\sqrt{x + 1} - \sqrt{x - 1})^{2} }[/tex]

That can be simplified to get;

dy/dx = [tex]\frac{\sqrt{x + 1} + \sqrt{x - 1} }{(x - 1)\sqrt{x + 1} + (-x - 1) \sqrt{x - 1}}[/tex]

2) We want to differentiate the function;

y = sin(2 sin⁻¹x)

Differentiating the function gives;

dy/dx = [2cos(2 sin⁻¹x)]/√(1 - x²)

We know from trigonometric identity that;

cos²x = 1 - sin²x

Thus;

1 - sin²(2 sin⁻¹x) = cos²(2 sin⁻¹x)

But sin²(2 sin⁻¹x) = y²cos²(2 sin⁻¹x)

Thus; √(1 - y²) = cos(2 sin⁻¹x)

dy/dx = d√(1 - y²)]/(√1 - x²)

Read more about Differentiation of Functions at; https://brainly.com/question/5313449

#SPJ1

If angle D is an acute angle and its tangent ratio is 1.055, then what is the measure of angle D to the nearest tenth of a degree?

Answers

The measure of angle D to the nearest tenth of a degree is 47 degrees

Application of SOH CAH TOA

This theorem is used to determine the measure of sides and angles of a triangle.

According to the theorem

tan theta = opp/adj = 1.055

theta = arctan(1.055)

theta = 46.53 degrees

Hence the measure of angle D to the nearest tenth of a degree is 47 degrees

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

#SPJ1

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.

1 European euro = 1.3687 US dollars

Answers

The amount 44.70 US dollars

Solve equation by using the quadratic formula. 6x^2 +2x =4?
A) x= 3/2, 1 B) x= 2/3, -1 C) x=3/2, -1 D) x=3/2, 0

Answers

Answer:

Answer x=2/3, -1
Option B

Step-by-step explanation:

Answer:

B) x =( 2/3, -1)

Step-by-step explanation:

Equation:

[tex]6x {}^{2} + 2x = 4[/tex]

Solution:

We know that,

[tex] \rm \: Quadratic \: formula (x)=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

According to the problem,

a = 6b = 2c = -4

Plugging them on the formulae,we obtain,

[tex]x = \cfrac{ - 2 \pm \sqrt{ 2 {}^{2} - 4 \{6 \times ( - 4) \} } }{2 \times 6} [/tex]

[tex]x = \cfrac{ - 2 \pm \: \sqrt{4 - 4 \{ - 24 \} } }{12} [/tex]

[tex]x = \cfrac{ - 2 \pm \: 10 }{12} [/tex]

[tex]x = \cfrac{ - 1 \pm5}{6} [/tex]

[tex]\boxed{x = \cfrac{2}{3} \: \rm or - 1}[/tex]

Choice B is accurate.

Which statement best explains the relationship
between lines AB and CD?
They are parallel because their slopes are equal.
• They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes
are
negative reciprocals.

Answers

Answer:

They are parallel because their slopes are equal.

Step-by-step explanation:

See attached image.

please help me aspa





Answers

Answer:

i's 20 because it seems that it is the most successful

Find the mean of the following group of numbers: 6. 1, 5. 9, 4. 2, 5. 9, and 10. 7. Round your answer to the nearest tenth

Answers

Answer:

6.6

Step-by-step explanation:

the "mean" of a data set is what we commonly refer to as the average. We find this estimate of values by adding up all of the values of the data set, and then dividing by the number of values we added together.

{for example: the mean [average] of 1, 5, 6:

1 + 5 + 6 = 12

12 ÷ 3 [we have 3 numbers] = 4}

our values:

6.1 ; 5.9 ; 4.2 ; 5.9 ; 10.7

> 6.1 + 5.9 + 4.2 + 5.9 + 10.7 = 32.8

[we have 5 numbers]

32.8 / 5 =  6.56

when rounding a number, we look to the digit one place to the right. If it is greater than or equal to 5, we "round up" our digit [we move it up to the next digit]

if it is less than 5, we keep our digit the same

(the tenths place =  _  . _ _ _  ones. tenths)

so if we round 6.56 to the nearest tenth:

6.56

[6 > 5]

6.6

So, the mean of this data set rounded to the nearest tenth is 6.6

hope this helps!!

Answer: 6.6

Step-by-Step Solution:

Values in the Data Set :-
6.1, 5.9, 4.2, 5.9, and 10.7

Sum of all Values (S) = 32.8
Number of Values (N) = 5

Mean of Data = S/N

Therefore,
= 32.8/5
= 328/50
= 6.56
=> 6.6

Mean of Data = 6.6

A shopkeeper sold a watch for rupees 992 allowing 20% discount find its marked price​

Answers

Answer:

⇒   Let marked price be Rs.x.

⇒  Discount = 20% of marked price.

⇒  Discount=  

100

20

​  

×x=  

100

20x

⇒  Selling price = Marked price - Discount.

⇒  192=x−  

100

20x

⇒  192=  

100

80x

⇒  x=  

80

19200

=Rs.240

MARK IT AS BRAINLIESTAND FOLLOW ME.

Answer:

S.p = 992

discount = 20%

marked price = S. p + discount

= 992 + 20/100*992

= 992 + 198.4

= 1190.4

been having this question for a while and this app wont help

Answers

Answer:

b

Step-by-step explanation:

eq y=x+4 is for x>=2 inclusive

There are 15 men and 21 women in a club. One man and one female are to be selected at random to represent the club. How many different pairs are there?

Someone please help me with this one, thanks

Answers

There are 315 number of different pairs

How to determine the number of pairs?

The given parameters are:

Men = 15

Women = 21

The number of different pairs is calculated as:

Pair = Men * Women

So,we have:

Pair = 15 * 21

Evaluate

Pair = 315

Hence, there are 315 different pairs

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

The distance between points (x₁, y₁) and (4, 8) is the square root of
(x₁ - 8)² + (₁-4)².
True or False?

Answers

The statement is given as the distance between points (x₁, y₁) and (4, 8) is the square root of (x₁ - 8)² + (₁-4)². Hence, the given statement is false, it is  √[(x₁-4)² + (y₁-8)²].

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

WE have been given two points.

So,

The distance between points (x₁, y₁) and (4, 8)

D = √[(x-p)² + (y-q)²]  

D = √[(x₁-4)² + (y₁-8)²]  

But the statement is given as the distance between points (x₁, y₁) and (4, 8) is the square root of (x₁ - 8)² + (₁-4)².

Hence, the given statement is false, it is  √[(x₁-4)² + (y₁-8)²].

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ1

Which calculation correctly uses prime factorization to write square root of 48 in simplest form?

Answers

The simplest form of the square root of 48 is 4√3

Simplifying rational functions

Given the following rational function √48

The correct prime factorization is given as;

√48 = √3×16

√48  = √16 × √3

Since the square root of 16 is 4, hence;

√48 = 4√3

Hence the simplest form of the square root of 48 is 4√3

Learn more on prime factorization here: https://brainly.com/question/92257

#SPJ1

How to graph the linear inequality

Answers

Step-by-step explanation:

here I have done you can check it out

Which of the numbers below is greater than −7/3? Select all that apply. A) −3 B) −5.5 C) −2 D) −3/2 E) 1.25

Answers

Answer:

C, D and E

Step-by-step explanation:

The numbers which are greater than given number are : -2, -1.5, and 1.25.

What is Fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts.

Here, given number: -7/3

or we can write this as -2.33

Now, Converting option fraction value into decimal

A). -3

B) -5.5

C). -2

D). -1.5

E). 1.25

On comparing options from the given value we get

the number which are greater than -2.33;   -2, -1.5, and 1.25

Thus, the numbers which are greater than given number are : -2, -1.5, and 1.25.

Learn more about Fraction from:

https://brainly.com/question/10354322

#SPJ1

Other Questions
5)Express in standard form: (i)4809000 (ii)0.00849 Which of the following words has a generally POSITIVE connotation? Select the best answer.trudge stigmademeaningor evocative One positive number is 8 times another number. Their difference is 70.Which of the following equations could be used to find the numbers? what are the 2 aims of brownies and downies 48 + what gives you 180 Wavelength is determined by dividing a wave's speed by its frequency. If a wave has a frequency of 1 hertz and a speed of 20 m/s, what is its wavelength?Select one:a. 80 mb. 5 mc. 0.05 md. 20 m which statements could be an interpretation of the graph x intercept or y intercept Why is this image an example of an appeal to pathos? U.S. Enters World War I I WANT YOU O 32 USA O A. Because it refers to the government's authority to help establish credibility B. Because it supplies new information to appeal to a sense of logic C. Because it uses feelings of patriotism to appeal to our emotions D. Because it uses facts and data to offer a logical explanation A projectile is fired at an upward angle of 45.0 from the top of a 265-m cliff with a speed of .sm 185 What will be its speed when it strikes the ground below? (Use conservation of energy.) Can I plsss get some help on this determine weather y varies directly with x. if so, find the constant variation and write the equation A story that ends with never willing I do that again A 5 Complete the sentences using words from the list. You may use them once, more than once, or not at all.increasesdecreasesstays the same a) When liquid water boils, the distance between the particles ____b) When liquid water boils, the strength of the attractive forces between the particles ___c) When steam condenses, the speed of movement of the particles ___ Read the sentences.In general, different people like different types of humor.some people do not even like comedy. Infact, there has been a huge decrease in viewership oflate-night talk shows by people older than 40 in the last15 years.Which transition best connects the student's ideas?As a resultIn additionHoweverSpecifically Which distance measures 7 units? L 50+5 7 -8 -7 -6 5 4 3 -2 -1 0 1 2 O the distance between points L and M O the distance between points L and N O the distance between points M and N the distance between points M and P 3 4 OL 5 6 s 8 look at the picture 8. in a hall experiment, a current of 25 a is passed through a long foil of ag, which is 0.1 mm thick and 3mm long. calculate the hall voltage produces across the width by a flux of 1.4 w/m2. if the conduction of ag is 6.8x10mho/m. estimate the mobility and hall coefficient. Match the following terms and definitions."inner skin"; layer of cells that develop on the inside of theembryoprocess in early embryonic development that forms layers ofcells1.2."middle skin"; layer of cells that develops between the3. ectoderm and endoderm; turns into organs, muscle, andcirculatory vesselsorganisms that form by spiral cleavage and develop a mouth4. from the first indentation of the gastrula stage of embryonicdevelopment; includes most invertebrates5.an animal with a false body cavity separating the mesodermand endoderm6.a characteristic of animals that have subdivisions of repeatedbody partsgastrulationprotostomesendodermmesodermpseudocoelomatesegmentation Rayonnia is buying cans of frozen lemonade concentrate to make punch for a holiday party with each can she can make 6 cups of lemonade write an equation which gives the number of cups of lemonade that can be made with any number of cans of frozen lemonade concentrate What is the solution to the following system?4x+3y-z=-66x-y+3z=128x+2y+4z=6x= 1, y = -3, z = -1x= 1, y=-3, z = 1x = 1, y = 3, z = 19x = 1, y = 3, z = -2