When you solve a system of equations, explain how you can determine if your solution is correct

What you want to do is you want to substitute the answer into either the first or second equations of the system of equations. For example, if y = 7, you would plug y into an equation like this:

1. 4y + 3x = 46

4 (7) + 3x = 46

28 + 3x = 46

28-28+3x = 46 - 28

3x = 18

3x/3 = 18/3

x = 6.

You should get your answer. For a 7th grader like me, it was pretty tricky, but you'll get the hang of it.