No problem at all! Getting on it now.
So if you want to eliminate variables, do this. :)
-3x + 2y = 10
6x + 6y = 0
Maybe something you didn't know is that you can multiply one set by a number. Watch this!
2(-3x + 2y) = 2(10)
6x + 6y = 0 [You don't have to multiply this set by 2.]
-6x + 4y = 20
6x + 6y = 0
Set it up like addition!
0x + 10y = 20
= 10y = 20
So you found what y is, after you divide 10y by 10 and 20 by 10. Y = 2! Then use substitution to put it back in and find x.
-3x + 2(2) = 10
6x + 6(2) = 0
So -3x + 4 = 10. Subtract 4 from both sides to cancel it out. This is now -3x = 6. Divide -3x by -3 and 6 by -3 to get x = -2. Yay!!
The values are (-2, 2). :) If you graph it out, you can even see that that is where the lines intersect!!
(attached file)
How cool is that!