Question

Solve the following systems using the elimination method.
10x-8y=-6
-10x+3y=21

Answer 1

Subtract 10x-10x to cancel each other out
-8y+3y=-5y
-6+21=15
15/-5
Answer: -3

Answer 2

y= -3, x= -3

Explanation:

Add the 2 equations to get rid of x:

-5y = 15

Divide both sides by 5:

y = -3

Substitute value of y into an equation to get x (I chose the first one

10x-8y = -6)

10x-8(-3) = -6

10x+24 = -6

Subtract both sides by 24:

10x = -30

Divide both sides by 10:

x = -3