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

4x + 5y = - 12

-2x + 3y = - 16

y = - 4

Step-by-step 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

Answer: The answer is y = - 4