I'll do substitution for you. Lets flip the second equation around a little to make it x=-4y-8 Now plug it into the first equation.
2(-4y-8)+y=5 -8y-16+y=5 -7y=21 y=-3 Plug it back in to get x and then you solved the system. 2x-3=5 2x=8 x=4 So the solution to the system is (4,-3)
Now to do it via elimination.. Lets get rid of the x to just leave the y Multiply the second equation by -2.. 2x+y=5 -2x-8y=16 combine like terms... -7y=21 y=-3 plug it in again... 2x-3=5 2x=8 x=4 (4,-3)
