Solve the system

Add them together to get rid of the y because you have y+(-y) which equals zero. Than solve for x and plug that number into the original equation and solve for y.
 
Like Random was saying: use the process of elimination by addition:

2x - y = 7
3x + y = 6

2x+3x + 0 = 6+7
5x = 13

Solve for x and then plug in that value into either equation and solve for y
 
Or you could use matrices:

\(\displaystyle \left( \begin{array}{ccc} x \\ y \\ \end{array} \right)\ = [\left( \begin{array}{ccc} 2 & -1 \\ 3 & 1 \\ \end{array} \right)\]^{-1} \left( \begin{array}{ccc} 7 \\ 6 \\ \end{array} \right)\\)
 
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