Question

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

4х + 5y=-12
2х + Зу = -16

Answer 1

The y-value is -20

Explanation:

So let's solve this by Elimination method;

-2(4x + 5y = -12)

4(2x + 3y = -16)

Let's Distribute;

-8x - 10y = 24

8x + 12y = -64

So x cancels out because -8 + 8 = 0

-10y + 12y = 2y

24 - 64 = -40

2y = -40

Divide both sides by 2;

y = -20

Now lets plug in y to find the value of x;

4x + 5(-20) = -12

4x - 100 = -12

Add 100 to both sides;

4x = 88

Divide both sides by 4;

x = 22