First make sure that one of the variable has the same coefficient in each equations.
For example lets use: y=x+3 2y=3x-1
Since neither the y's or x's are the same, we must multiply the equations to make them the same. I am going to multiply the first equation by 2 so I can eliminate the y's.
So we get: 2y=2x+3 2y=3x-1
Then we subtract the second equation from the first to eliminate the y's. So we end up with 0=-x+4 and now we solve for x 0=-x+4 x=4
Now we plug in our x into either original to get the y-value. I am using the first y=x+3 y=4+3 So the x=4 and y=7
