The first step is the trickery (and quite frankly, hardest to explain) part. You need to multiply one equation by a number that will create one variable to be the negative version of the other...(Confusing, right? Don't worry, I'll show you)
We are going to solve for X first.
We will multiply the second equation by -3 5x+3y=-9 -3(-2x+y)=(-3)8
Now simplify: 5x+3y= -9 6x-3y= -24
Now combine the two equations (add them together) 11x= -33 Divide by 11 X=-3
Now plug X in to one of the first equations: 5(-3)+3y= -9 -15+3y =-9 3Y= 6 Y= 2
