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)
[tex]4x =-12-5y[/tex]
[tex]x=\frac{-12-5y}{4}[/tex]
Put this value of x in equation (2)
[tex]-2(\frac{-12-5y}{4})+3y=-16[/tex]
[tex]\frac{12+5y}{2}+3y=-16[/tex]
[tex]\frac{12+5y+6y}{2}=-16[/tex]
[tex]12+11y=-32[/tex]
[tex]11y=-32-12[/tex]
[tex]11y=-44[/tex]
[tex]y=-4[/tex]
Therefore, Option A is correct that is y = -4.
