Question 288829
3x - 2y = 4
2x - y = 5

You need to eliminate one of the varaibles.  In this case, Multiply the second equation by 2, for the following:

3x - 2y = 4
4x - 2y = 10

Subtract the first statement from the second

{{{highlight(x = 6)}}}

Now, substitute back into either equation: (I choose the first)

3(6) - 2y = 4   subtract 18 from both sides
-2y = -14   Now divide both sides by -2
{{{highlight(y = 7)}}}

To prove it, substitute back into both equations:
3(6) - 2(7) = 4
18 - 14 = 4.  correct.

2(6) - 7 = 5
12 - 7 = 5.  correct.