There are many ways to solve this. I think the easiest way for this one is to add the equations up.
[tex] \: \: \: \: \: -5x+ 2y = 6 \\ + \: \: \: 10x - 2y = - 16 \\ - - - - - - - - - - \\ \: \: \: \: \: \: 5x = - 10[/tex]
The you solve that, now that y is gone. You get x=2.
Now plug in x into one of the original equations.
[tex] - 5(2) + 2y = 6 \\ - 10 + 2y = 6[/tex]
Finish solving, and you get y=8.
The answer is (2,8)
