How do I figure out? 3y+2x=4

Step by step? -6x+y=-7

3y + 2x = 4

-6x + y = -7

Multiply first equation by 3.

6x + 9y = 12

Add the two equations (x's cancel out).

10y = 5

y = .5

Insert value of y in either equation to solve for x. Put both in the other equation to check.