Select the correct answer.

What is the solution to this system of equations?

x - 2y = 15

2x + 4y=-18

O A. x = 1, y = - 6

B.

x = 1, y=-7

C. x = 3, y=-6

D. x = 3. y=-7

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A. x=3, y = - 6

Step-by-step explanation:

x - 2y = 15

2x + 4y = - 18

Solving for x

x-2y=15

Subtract x from both sides

-2y = - x+15

Multiply both sides by - 1

2y=x-15

Multiply both sides by 2

4y=2x-30

2x+4y = - 18

Subtract 2x from both sides

4y = - 2x-18

Combine equations:

-2x-18=2x-30

Add 2x to both sides

-18=4x-30

Add 30 to both sides

12=4x

4x=12

Divide both sides by 4

x=3

Solving for y

x-2y=15

Add 2y to both sides

x=2y+15

Multiply both sides by 2

2x=4y+30

2x + 4y = - 18

Subtract 4y from both sides

2x = - 4y-18

Combine equations:

-4y-18=4y+30

Add 4y to both sides

-18=8y+30

Subtract 30 from both sides

8y = - 48

Divide both sides by 8

y = - 6