1. Solve using any method:
2x – 3y = -2
4x + y = 24

Answers

Answer 1

Answer:

[tex]x=5,y=4[/tex]

Step-by-step explanation:

[tex]2x-3y=-2[/tex]

Add 3y to both sides:

[tex]2x-3y+3y=-2+3y[/tex]

[tex]2x=-2+3y[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=-\frac{2+3y}{2}[/tex]

[tex]x=\frac{-2+3y}{2}[/tex]

Substitute this into the second equation:

[tex]4* \frac{-2+3y}{2}+y=24[/tex]

[tex]2\left(3y-2\right)+y=24[/tex]

[tex]7y-4=24[/tex]

Add 4 to both sides:

[tex]7y-4+4=24+4[/tex]

[tex]7y=28[/tex]

Divide both sides by 7:

[tex]\frac{7y}{7}=\frac{28}{7}[/tex]

[tex]y=4[/tex]

We know that [tex]x=\frac{-2+3y}{2}[/tex]

Thus, [tex]x=\frac{-2+3* \:4}{2}[/tex]

[tex]x=\frac{10}{2}[/tex]

[tex]x=5[/tex]

Answer 2

Answer:

using elimination rule

multiply equation 2 by 3

we get, 12x+3y=72

now solve both equation

2x-3y= -2

(+)12x+3y=72

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

14x=70

x=70/14=5

put value of x in any of the equation y=4

mark its as brainliest!!!!


Related Questions

500 deposit over 20 years with an interest rate of 5%

Answers

Answer:

At the end of 20 years, your savings will have grown to $1,326.

You will have earned in $826 in interest.

Step-by-step explanation:

can I get an answer please ​

Answers

Answer: 1, 4, -7

Step-by-step explanation:

Coefficients are numbers that are in front of a variable. Let's first determine the terms that have variables in them.

z, 4z², -7a

Since these all have variables in the terms, we know the coefficients are 1, 4, -7.

Alden has a gift card for a local garden store. She uses the gift card to rent a tiller for 5 days. It cost $59 per day to rent the tiller. She also buys a rake for $3 l. By how much did her gift card decrease by

Answers

Answer:

90 the answer is 90

Answer:

$250

Step-by-step explanation:

We can make a pretty simple equation to help us solve this. If the tiller costs $59 for each day and she uses it for 5 days, the first step of our equation would be (59 x 5). Then she buys a rake for 3 dollars, that is adding to the equation

(59 x 5) + 3

Fist solve what is inside the parentheses. 59 x 5 = 250

250 + 3 = 250

Can some one help me please

Answers

Answer:

Acc to the exponential rule

{[A^m]} ^2

A ^m*n

Hence A raise to 3 whole raise to 2 is equal to

A raise to 3*2=6

That is A raise to 6

Suppose tan(x) = Two-thirds, and the terminal side of x is located in quadrant I. What is sin(x)?

Answers

Answer:

sin(x) = 2/√13

Step-by-step explanation:

In the first quadrant , all the trig identity (sin, cos and tan) are all positive.

Given tan(x) = 2/3

According to TOA, tan(x) = opposite/adjacent = 2/3

opposite = 2

adjacent = 3

Using pythagoras theorem to get the hypotenuse;

Hyp² = opp²+adj²

Hyp² = 2²+3²

Hyp² = 4+9

Hyp² = 13

Hyp = √13

According to SOH, sin(x) = opp/hyp

sin(x) = 2/√13

123453737372×69943773884=​

Answers

Answer:

wow I got a big E and am sooo happy to get 5 marks

Answer:

  8,634,820,291,881,888,392,848

Step-by-step explanation:

123453737372×69943773884 = 8,634,820,291,881,888,392,848

Many calculators don't keep the required number of digits.

Find 5/6 of 15. Express your answer in simplest form. ​

Answers

Answer:

I would say 95/6 because you multiply 5 and 15 and turn it into an improper fractions.

Step-by-step explanation:

Answer

25/2 or 12 and 1/2

Step-by-step explanation:

The number 28 is 4 times as many as 7. Write this comparison as a multoplication equation

Answers

Answer:

4 x 7

Hope this helps pla mark brainliest : )

The mathematical expression will be;

⇒ 28 = 4 × 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''The number 28 is 4 times as many as 7''

Now,

Since, The algebraic expression is,

''The number 28 is 4 times as many as 7''

Hence, We can formulate;

⇒ 28 = 4 × 7

Thus, The The mathematical expression is find as;

⇒ 28 = 4 × 7

Learn more about the mathematical expression visit:

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What do you call moving digits around to a different place when you count up or down past 9?

regrouping.

borrowing.

trading.

all of the above.

Answers

D is the answer. All the above.

Happy Cheating!! You will get a good grade

Moving digits around to a different place when counting up or down past 9 is called regrouping, borrowing, or trading.

There are several terms for moving digits around, some of them are:

RegroupingCarryingBorrowingTrading

All the above mean the same thing, and they perform the same purpose.

For instance:

Counting from 19 to 20 involves borrowing/carrying/trading/regrouping of 1

Hence, the correct option is (d) all of the above

Read more about regrouping at:

https://brainly.com/question/23796432

Meghan Trainor spent $180 to start a dog walking business and earns $80 for each dog she walks Nicki Minaj didn't spend anything to start her business and already has $160 saved up Nicki Minaj and $6 for each dog she walks how many dogs would they each have to walk before they have the same amount of money

Answers

Answer:

Nicki will have to walk 13 dogs to get the same amount of money as Meghan

Pls mark me brainliest.

Part D: Write an equation that would represent the

number of seconds it took the skydiver to reach a

height of 400 meters and use the equation to solve for

that time.

Part E: What is an appropriate domain for the

situation

A 0
B. 0
C. Sy s 44.7

DO Sy 5 760

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A skydiver is 760 meters above the ground when he opens  his parachute. After opening the parachute, he descends  at a constant speed of 17 meters per second.

a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables  (output) while the independent variable is not dependent on other variables (input).

Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:

y = 760 - 17x

At a height of 400 m, the number of seconds is:

y = 760 - 17x

400 = 760 - 17x

17x = 760 - 400

17x = 360

x = 21.2

x ≅ 21 seconds

It takes 21 seconds to reach a height of 400 m

b) Domain is the set of all independent variables. In this case the independent variable is the time (x)

The minimum time is at y = 760

y= 760 - 17x

760 = 760 - 17x

17x = 0

x = 0

The maximum time is at y = 0

y= 760 - 17x

0 = 760 - 17x

17x = 760

x = 44.7

Hence the domain = 0 ≤ x ≤ 44.7

A person whose salary is Rupees 18500 has to pay 13% tax how much tax should he pay ​

Answers

Step-by-step explanation:

if a person whose salary is Rs 18500 has to pay 13% tax pay 18500 into 13 by hundreds equals to 185 into 13

The amount of tax the person has to pay is Rupees  2405.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A person whose salary is Rupees 18500 has to pay 13% tax.

So, The amount of tax he has to pay is 13% of 18500.

(13/100)×18500.

= 13×185.

= 2405 Rupees

learn more about percentages here :

https://brainly.com/question/24159063

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Simplify. (12)2−6(2−23) Enter your answer, as a simplified fraction, in the box.

Answers

Answer: 240

Step-by-step explanation:

Distribute all numbers

24 - 6(-21)

24 - (-126)

24+216

240

Which relation is a function? A. (8, –4), (8, 4), (6, –3), (6, 3), (0, 0) B. (4, 7), (8, 5), (6, 4), (5, 3), (4, 2) C. (0, 0), (1, 1), (2, 2), (3, 3), (4, 7) D. (0, 0), (1, 0), (1, 1), (2, 1), (1, 2)

Answers

Answer:

its C because in C none of the x's repeat

Step-by-step explanation:

Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2 + 5x + 8

Answers

Answer:

See attached

Step-by-step explanation:

Given function:

y = -2x² + 5x + 8

Table and graph are attached

Zeros are included in the graph

Zero's are obtained:

x = 0 ⇒ y = 8

y = 0 ⇒  Solving quadratic equation

-2x² + 5x + 8 = 0x = (-5 ± √(25 + 2*4*8))/-4x = 3.608x = -1.108

So zeros are (0, 8), (3.608, 0) and (-1.108, 0)

F(x) = 1/3(4-x)2 what is the value of f (16)

Answers

Answer:

-8

Step-by-step explanation:

Kanji buys 3 yards of fabric for $7.47. Then he realizes that he needs 2 more yards Of the Same fabric. How much will the extra fabric cost?

Answers

It will cost 4.98.
Explanation: If you divide 7.47 by 3, you get 2.49. One yard plus one yard equals two yards. Multiply 2.49 by 2 to get the answer.

Evaluate the following expression:
[9 (10 – 2)] = [2 + (5 x 2)]

Answers

[9(10-2)]=[2+(5 x 2)]
90-18= 2 + 10
72= 12
72 divided by 12
Answer = 6

Answer:

6

Step-by-step explanation:

A rectangle has the length 8 times the width the area of the park is 392 square unites how much is the width of the park

Answers

Answer:

7

Step-by-step explanation:

A rectangle has a length that is 8 times the width

The area of the park is 392 square units

Let y represent the width of the park

Since the length is 8 times the width then, l= 8x

Therefore the width of the park can be calculated as follows

8x × x= 392

8x^2= 392

x^2= 392/8

x^2= 49

x= 7

Hence the width of the park is 7

a bus is traveling at a constant speed if the bus travels 15 1/2 miles in 1/3 of an hour how many miles will the bus travel in one hour

Answers

Answer:93/2 or 46 1/2

Step-by-step explanation:

15 1/2 ✖️3

passing through (-6, -1) and parallel 2x+3y=3

Answers

Answer:

the answer is -5

Step-by-step explanation:

Answer:

y=-2/3x+5

Step-by-step explanation:

2x+3y=3

3y=-2x+3

y=-2/3x+1

*input the point given)

-1=-2/3(-6)+1

5

hope this helped!!

solve screen shot attachment EASY

Answers

Answer:

[tex]x = \frac{-3d-9}{k-d}[/tex]

Step-by-step explanation:

Step 1: Write out equation

d(-3 + x) = kx + 9

Step 2: Distribute d

-3d + dx = kx + 9

Step 3: Subtract 9 on both sides

-3d + dx - 9 = kx

Step 4: Subtract dx on both sides

-3d - 9 = kx - dx

Step 5: Factor out x

-3d - 9 = x(k - d)

Step 6: Divide both sides by k - d

[tex]x = \frac{-3d-9}{k-d}[/tex]


1 point
What type of number is -0.36? Check ALL that apply.
whole number
irrational
integer
rational

Answers

Answer:

Its an integer and rational number

#3. Which related conditional statements have the same truth value as

the contrapositive? *

O Conditional Statement

Biconditional

Converse

Inverse

Answers

Answer:

Conditional Statement

Step-by-step explanation:

Here in this question, we are interested in selecting which of the options given has the same truth value as the contrapositive. The correct answer here is the conditional statement.

Logically, a contrapositive statement has the same truth value as a conditional statement. What this means is that they are logically equivalent.

A conditional statement is however not logically equivalent to its converse and inverse.

How do you do this I don’t know how to do the triangle.

Answers

Answer:

I think the answer is 36

Step-by-step explanation:

I reduced 20in and I got 15inches

then as we know perimeter is the distance right round the shape so I add 15, 9 and 12 and I got 36

Will vote brainliest!!!!!!!! Thank you!!!!!!!!!!!!

Answers

0

Step-by-step explanation:

all the ways you could do it so it would be 0

x-4y+5z=0,x+z-3y=0

6x-y+4z=0,x-7y+z=0

I’m stuck on this to

1) -13(-6x- 14) = -910 solve

Answers

Answer:

x=2

Step-by-step explanation:

Which expression is equivalent to (3x-1) (-5x+6)?

Answers

Answer:

−15x2+23x−6

Step-by-step explanation:

(3x−1)(−5x+6)

=(3x+−1)(−5x+6)

=(3x)(−5x)+(3x)(6)+(−1)(−5x)+(−1)(6)

=−15x2+18x+5x−6

=−15x2+23x−6

187/100 in simplest form. (ex 10/5 = 1 1/5)

Answers

Answer:

It stays the same

numerele a, b si c sunt direct proportionale cu 2, 3 si 5. Daca media aritmetica a celor trei numere este egala cu 100, determinati numerele a, b si c

Answers

Answer:

a = 60

b = 90

c = 150

Step-by-step explanation:

Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.

Unde k este constantă de proporționalitate

a ∝ 2

a = 2k

b ∝ 3

b = 3k

c ∝ 5

c = 5k

Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c

= 2k + 3k + 5k / 3 = 100

= 10k / 3 = 100

Cross Multiply

= 10k = 3 × 100

= 10k = 300

Împărțiți ambele părți la 10

k = 300/10

k = 30

Pentru numărul a

a = 2k

a = 2 × 30

a = 60

Pentru numărul b

b = 3k

b = 3 × 30

b = 90

Pentru numărul c

c = 5k

c = 5 × 30

c = 150

Prin urmare, a = 60, b = 90, c = 150

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