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.