MATHEMATICS COLLEGE

EquationsWhat is the solution of the system of linear equations?
-3x + 4y = -18
2x - y = 7

(-2,-3)
(-2,3)
(2, -3)
(2, 3)

Answers

Answer 1

Answer:

The solution of the system of linear equations given is (2,-3), the correct option is C.

What is System of Linear Equation?

The system of linear equation is set of equations which have a common solution.

The equations are

-3x+4y = -18

2x-y =7

The linear equations can be solved using substitution method

y = 2x -7 from equation 2 will be substituted in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

To know more about System of Linear Equations

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Answer 2

Answer:

Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y = 28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

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I will mark you brainliest
what is 1+1

Answers

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In one city, the ratio of households with pets tohouseholds without pets is 30 to 29. If 20,735 households
do not have pets, how many households have pets?
A 21.450
B 42,185
C 40,779
D 20.044

Answers

Answer:

40,779

Step-by-step explanation:

i took the k12 test

Complete the number sentence to solve. Three students share 5 feet of ribbon equally. How many feet of ribbon does each student get? 5 + 3 = Each student's share is 1 feet of ribbon.

Answers

Answer:

The answer is that each student gets 1.666667 feet of ribbon

Step-by-step explanation:

Olve the system of equations below.3x+4y=10
6x-2y=40

(6,-2)

(2,6)

(2,-6)

(-2,-6)

Answers

Answer:

The correct solutions are (6, -2).

Step-by-step explanation:

For the first equation, rearrange to make x the subject.

3x + 4y = 10

$3x = 10 -4y$

Divide the whole equation by 3 to isolate x:

$3x = 10 -4y\n3x / 3 = (10)/(3) - (4)/(3)y\nx = (10)/(3) - (4)/(3)y\n$

Now substitute this into the second equation:

$6x - 2y = 40\n6((10)/(3) - (4)/(3)y) - 2y = 40\n6((10)/(3)) + 6((4)/(3)) - 2y = 40$

$20 - 8y - 2y = 40\n20 - 10y = 40$

Subtract 20 from both sides:

20 - 10y = 40

20 - 10y - 20 = 40 - 20

-10y = 20

Divide both sides by 2:

-10y ÷ 10 = 20 ÷ 10

-y = 2 ∴ y = -2

Plug this value back into the first equation:

3x + 4y = 10

3x + 4(-2) = 10

3x + (-8) = 10

3x - 8 = 10

Add 8 to both sides:

3x - 8 + 8 = 10 + 8

3x = 18

Divide both sides by 3:

3x ÷ 3 = 18 ÷ 3

x = 6

Therefore, the correct solutions are (6, -2).

Hope this helps!

How would you write 0.7 repeated as a fraction

Answers

0.7 repeated can be written as a fraction $(7)/(9)$ .

What are Fractions?

Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.

Fractions are generally written in the form $(p)/(q)$ , where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.