Question

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

4x + 5y = −12

-2x + 3y = −16

A: −4
B: −2
C: 2
D: 5

Answer 1

4x+5y=-12 (1)
-4x+6y=-32 (2)
(1)+(2)=> 11y=-44
y=-4
so A : -4

Answer 2

Option A is correct that is y = -4

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=(-12-5y)/(4)`

Put this value of x in equation (2)

`-2((-12-5y)/(4))+3y=-16`

`(12+5y)/(2)+3y=-16`

`(12+5y+6y)/(2)=-16`

`12+11y=-32`

`11y=-32-12`

`11y=-44`

`y=-4`

Therefore, Option A is correct that is y = -4.