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

4x + 5y = - 12

-2x + 3y = - 16

-4

-2

2

5

-4 because:

you would start by isolating one of the variables, either x or y. in this case, i chose to isolate the x in the second equation. so we started with:

-2x+3y=-16

add 2x to both sides so

3y=2x-16

add 16 to both sides so:

3y+16=2x

divide both sides by 2 so:

x=1.5y+8

now plug this value for x into the first equation in the place of x so:

4 (1.5y+8) + 5y=-12

simplify some so:

6y+32+5y=-12

combine like terms and then subract 32 from each side. so:

11y=-44

divide both sides by 11. so:

y=-4

then you need to solve furter to check your answer to be sure. if you would like to know how, let me know, but stopping right there, i have already solved furtherto check andthat is the answer.

y = - 4