The linear combination method is the same as the elimination method. Let's multiply the second equation by -2 so the x terms cancel each other out. When we do that we get a system of [tex]2x-3y=13[/tex] and [tex]-2x-4y=8[/tex]. The x-terms cancel each other out giving us [tex]-7y=21[/tex] and y = -3. Now sub -3 into one of the equations to solve for x. x+2(-3)=-4, and x - 6 = -4. x = 2. So the solution for our system is (2, -3)
