Question

A: 10x-4y=20

B: 8x+6y=14

Solve this system of equations using addition. Show all of your work.
Also list the property that you use in each step.

Answer 1

First, use the multiplication property of equality. Multiply the top equation by 3 and the bottom equation by 2.

30x - 12y = 60
16x + 12y = 28

Now, use the addition property of equality. Add the the two equations.

46x = 88 Use the division property of equality. Divide both sides by 46.

x is about 1.91

If you sub that back in for x, you can solve and find the y is about -0.217.