Mathematics High School

solve the Simultaneous equations : x+y=5; x-y=1​

Answers

Answer 1

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

-------------

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)

Related Questions

FIND THE ERROR Fern is finding the slope of the line that passes through (-2, 8) and (4. 6). Determine in which step she made an error. Ex​

Answers

Answer:

Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.

Step-by-step explanation:

Fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept

Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).

In order to find the slope of the line, the following formula is used -

m = (y₂ - y₁)/(x₂ - x₁)

So, the slope of the line passing through the given points can be calculated using the following steps -

m = (6 - 8)/{4 -(-2)}                       ..[1]

m = -2/6                              

m = -1/3

Fern made mistake in writing equation [1]. She should have written

{4 -(-2)} in the denominator in place of {-2 - 4}

Therefore, fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

To solve more questions on straight lines, visit the link below-

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CAN SOMEONE PLSSSS HELP ME ON THE LAST ONE (c) AND GIVE THE REASON IM SO STUCK IN THIS MUCH APPRECIATED TO THOSE WHO HELP

Answers

Answer:

Diagram B

Step-by-step explanation:

A line of best fit is a line drawn through a set of points that fits it best. You can see in diagrams A and C that the lines cross through or near most of the points. However, in diagram B, it crosses through 2 points, and misses quite a lot. Your answer is B :) hope this helped!

Given the following graph, where does the line cross the y-axis?

Answers

Y axis is the vertical line
In this case it means what is the y intercept: which is (0, y)

Solution: (0, -4)

Answer:

-4 is where the line crosses the y-axis

Lilly made 32 of her 40 serve attempts over the net. What percent of her serves made it over the net?

Answers

80%

(32/40)=0.8
0.8 x 100 = 80

Quadrilateral PQRS is shown
40+1
Q
R
(6x + 13)
6b
/11b-10
(7x- 500
P
s
2a +9
What must mZQPS be for PORS to be a parallelogram?
A 18
B 59
C 121
OD not enough information

Answers

Answer:

m∠QPS = 59

Step-by-step explanation:

59 + (7x-5) = 180

x = 18

If you substitute 59 with the other answer options you will get a decimal.

I hope that this could help!!!!

Decrease 80 in the ratio 3 : 4

Answers

Answer:

60

Step-by-step explanation:

A decrease in the ratio 3 : 4 implies that

new value : old value =  3 : 4

x : 80 = 3 : 4

x/80 = 3/4

x = 3/4 * 80

= 3 * 20

= 60

What’s that answer please

Answers

it is an isosceles triangle :)

What is the slope of the line shown on the graph to the​ right?

Answers

Is 1 up and 2 to the side

Resolver para y. 3xy=12*​

Answers

Answer: 4y-1

Step-by-step explanation:

Simplifying 3xy = 12 Solving 3xy = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3y'. x = 4y-1 Simplifying x = 4y-1

Hope this helps

Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.

Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?

Answers

Answer:

4x  + 2y  ≤  25   ,      x + y ≥  8     is the required system of inequalities to represent the given situation.

Step-by-step explanation:

Here, let  the number of color copies =  x

Now, the time taken to print each color copy = 4 minutes

⇒Time taken to print x color copies = x times ( Time taken by each copy)

= 4 (x)   = 4x

and let  the number gray scale copies =  y

The time taken to print each gray scale copy = 2 minutes

⇒Time taken to print y gray scale copy = y times (Time taken by each copy)

= 2 (y)   = 2y

Total copies printed = x + y

Maximum time taken to print x  color copies and y grayscale copies

= 4x  + 2y

So, according to the question:

4x  + 2y  ≤  25 ( as maximum allotted time is 25 minutes)

and x + y ≥  8      (as minimum number of copies is 8)

hence, the above system is the required system of inequalities to represent the given situation.

I hope this helps.

You have a jar of jolly ranchers that contains: 15 cherry, 10 blue raspberries, 6 green apples, and 4 grapes.
Without looking, what is the probability that you select a green apple jolly rancher, eat it, then select a cherry?
The probability that both events occur is
which is
%. Round percent to the nearest whole
number.
Done and Review
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Answers

Answer:

9 / 119 or 8%

Step-by-step explanation:

there are a total of 35 candies, of which 6 are green and 15 are cherry

P(Green) = 6/35

P(Cherry) = 15/35

P(Green,Cherry) = 6/35 · 15/34

= 9/119 or 7.6%

Please answer quick!

Answers

Answer:

that must be bad, bro I need help to

Answer:

A, B and D are equations

hello what is 100^4
pls help asap my homework

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Solution ~

[tex]100 {}^{4} [/tex]

[tex]100 \times 100 \times 100 \times 100[/tex]

[tex]100000000[/tex]

or it can also be expressed as ~

[tex]10 {}^{8} [/tex]

[tex]1 {0}^{8} \\ \\ hope \: \: it \: \: helps \\ \\ see \: \: the \: \: attachement[/tex]

which ordered pair represents the coordinate of point h?
(0.6, - 1.4) (-1.4, 0.6) (-1.2 , 0.3) (0.3, - 1.2)

Answers

Answer:

-1.2 is the answer i think

30/x = 54/81 what value does x have to be to make it true

Answers

Answer:

x=45

Step-by-step explanation:

30/x = 54/81

30 = 54/81(x)

x = 30 ÷ 54/81

x=45

Answer:

x = 45

Step-by-step explanation:

30/x = 54/81

~Cross multiply

30 * 81 = 54 * x

~Simplify

2430 = 54x

~Divide 54 to both sides

45 = x

Best of Luck!

100 points if you get this

Answers

Answer:

....

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

a rectangular park is 45m long and 30m wide.A path is 2.5 on constructed outside the park find the area of the park​

Answers

Answer: 1350 m²

Step-by-step explanation:

30 m x 45 m = 1350 m²

You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need?

Answers

I dunno tbh;-; soooooo I hope this helps
20 parts of flour

Because if you use 24 cups of sugar divide that by 6 resulting 4, which indicates that you used 6 parts 4 times, the multiply 5x4 giving you 20 which is how much flour you need

can you convert the following
1/8 to decimal and percent
and show work
​

Answers

Answer:

0.125 as a decimal and 12.5% as a percentage

Step-by-step explanation:

1 divided by 8 to get decimal and for percent take the value and multiply it by 100

which one is the same to 0.6 . 1/6 , 6% , 3/5 , 60% or 6/100

Answers

3/5 and 60% are both equivalent to 0.6

find the slope of the line that passes through the points (-2 3 )and( 4 3)​

Answers

Step-by-step explanation:

Given points,

( -2 , 3) and (4,3)

we know,

slope = y_2 - y_1 / x_2 - x_1

so according to it we got,

→ (3 - 3)/4 - (-2)

→ 0/6

hope this answer helps you dear! take care.

Hello!

To find the slope when we have 2 points, we use the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{3-3}{4-(-2)} \\\frac{0}{6} \\0[/tex]

Here's something for you to remember:

When the y-coordinates of two points are the same, the slope is 0.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

If a triangle has a base of 6 feet and a height of 5 feet, what is the area?

Answers

Answer:

15 square feet

Step-by-step explanation:

a = (1/2)bh

a = (1/2) * 6 * 5

a = 3 * 5

a = 15

15 square feet

test again Add.

3/8+3/8

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

[tex] \frac{3 }{8} + \frac{3}{8} [/tex]

transform the equation

[tex] \frac{3 + 3}{8} [/tex]

calculate

[tex] \frac{6}{8} [/tex]

simplify

[tex] \frac{3}{4} [/tex]

or 0.75

Given numbers 2 ,5,11, 4.5, 1/10, V3 then
a. Write two prime numbers from the above.
b- An integer root 121
c- A number 25 % of 18
d- An irrational number

Answers

Answer:

a. pick two between 2,5 or 11, they are all primes.

b. it's 11 since

[tex]11 {}^{2} = 121[/tex]

c. that's

[tex]18 \times \frac{25}{100} = 4.5[/tex]

(or think about it as half the half of 18, so half of 9)

d.

[tex] \sqrt{3} [/tex]

Rest can be written as a fraction

Line FG passes through points (0, 2) and (3, 2). Line F′G′ is formed by dilating line FG by a factor of 2 about the origin. Which statement is true? Group of answer choices Line F′G′ is the original line. Line F′G′ passes through the origin. Lines FG and F′G′ are parallel to each other. Lines FG and F′G′ are perpendicular to each other.

Answers

Answer:

See the picture, it explains the correct choice is C

Step-by-step explanation:

a) Line F′G′ is the original line. Falseb) Line F′G′ passes through the origin. Falsec) Lines FG and F′G′ are parallel to each other.  TRUEd) Lines FG and F′G′ are perpendicular to each other. False

I have no idea how to do these plz help and plz make sure it’s right because I only have 5 questions and will mark brainiest:)

Answers

Answer: the answer is d

Step-by-step explanation:

How do I do this? I’m confused

Answers

I’m not exactly sure what part you’re confused about so I’ll explain this problem for you. The first step would be knowing what slope intercept form is; y=mx+b. Knowing this, our first step (the easiest one) would be to find “b” also known as the y intercept, all you need to do is find where the slope crosses on the y axis. In your case, this is at the point (0,-6) so b (the y intercept) would be -6. Now for the next step you need to find the next point (from the y intercept -6) where the slope intercepts the y axis (this is always going to be left of the y intercept). So if you look closely, the next point the slope intercepts is (5,-8) which will now become our “m” in the equation. Finally all we need to do is plug them in slope form. The final answer will be y=-5/8x-6


If you have any further questions; or if I didn’t clear your confusion please don’t hesitate to reply to this answer. I’ll be more than happy to further assist you!

The equation y = 0.8x can be used to calculate the cost (y) of x packs of bubble gum. What is the unit cost of bubble gum?​

Answers

answer =0.8

Step-by-step explanation:

if y is the cost of x bubble gum where 0.8 is the value for one then o.8 is the unit

The unit cost of bubble gum is $0.8 per pack.

What is a linear equation?

A straight line on a coordinate plane is represented by a linear equation. Y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept, which can be used to represent the equation (the point where the line intersects the y-axis).

The slope of a line, which reflects the steepness of the line, is calculated as the ratio of the change in y to the change in x between any two locations on the line. The line's intersection with the y-axis, or the value of y when x = 0, is known as the y-intercept.

The equation y = 0.8x represents the cost "y" of "x" packs of bubble gum. The coefficient of "x" in this equation is 0.8, which represents the cost per pack of bubble gum.

Therefore, the unit cost of bubble gum is $0.8 per pack.

To know more about linear equations follow

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(x + 3) is a factor of the polynomial x^3 + 2x^2 - 5x + n.
What is the value of n?

Answers

Answer:

n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

     

What is the slope of the line that passes through the points (-4, -4)(−4,−4) and (-4, -9) ?(−4,−9)? Write your answer in simplest form.

Answers

Answer:

undefined slope

Step-by-step explanation:

The points contain the same x-value. This means that the line is vertical.

All vertical lines have an undefined slope.

Hope this helps.

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