Answer:
A. -4
Step-by-step explanation:
To find the y-value in the solution to this system of linear equation, we will follow the steps below:
4x + 5y = −12 ------------------------------------------------------(1)
-2x + 3y = −16 -----------------------------------------------------(2)
Multiply through equation (1) by 2 and multiply through equation (2) by 4 to make the x coefficient have equal value
8x + 10y = -24 ---------------------------------------------------(3)
-8x + 12y = -64 ---------------------------------------------------(4)
Add equation (1) and equation (2)
22y = -88
Divide both-side of the equation by 22
22y/ 22 = -88/ 22
y =-4