Question

A system of equations is shown below.

y=-2x + 6
6x + 3y = 18
What is the solution to the system of equations?
(Show work)

Answer 1

Explanation:

First, we need to look at the simpler equation. We see that the top equation is the simpler one.

y=-2x + 6

Now we plug that equation with the other one.

6x + 3(-2x + 6) = 18

6x -6x + 18 = 18

18 = 18

Since we see that 18 = 18. We know that this equation is a true equation. We can plug the y-variable in first and it will still be a true statement.