Question

What is the y-value in the solution to this system of linear equations?

4x + 5y = -12
-2x + 3y = -16

Answer 1

Answer: The answer is y = -4

Answer 2

y = -4

Explanation:

Solve the following system:

{4 x + 5 y = -12 | (equation 1)

3 y - 2 x = -16 | (equation 2)

Add 1/2 × (equation 1) to equation 2:

{4 x + 5 y = -12 | (equation 1)

0 x+(11 y)/2 = -22 | (equation 2)

Multiply equation 2 by 2/11:

{4 x + 5 y = -12 | (equation 1)

0 x+y = -4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{4 x+0 y = 8 | (equation 1)

0 x+y = -4 | (equation 2)

Divide equation 1 by 4:

{x+0 y = 2 | (equation 1)

0 x+y = -4 | (equation 2)

Collect results:

Answer: {x = 2 , y = -4