Answer:
Option A is correct that is y = -4
Step-by-step explanation:
Given System of Equations are ,
4x + 5y = -12 ...............(1)
-2x + 3y = -16 .................(2)
To find: value of y in the solution.
We solve it by substitution method,
from equation (1)
\(4x =-12-5y\)
\(x=\frac{-12-5y}{4}\)
Put this value of x in equation (2)
\(-2(\frac{-12-5y}{4})+3y=-16\)
\(\frac{12+5y}{2}+3y=-16\)
\(\frac{12+5y+6y}{2}=-16\)
\(12+11y=-32\)
\(11y=-32-12\)
\(11y=-44\)
\(y=-4\)
Therefore, Option A is correct that is y = -4.
