Well using elimination is easy because they basically did it for you. 4x-5y=-6 2x+5y=12 The postive 5y and negative 5y cancel out because -5y plus 5y is zero. so you are left with 4x=-6 2x=12 Add these together 6x=18 divide both sides by 6 and Solve to find your x x=3 Now we have to eliminate x to find y. we multiply the second equation by -2 so it can cancel out so (2x+5y=12)-2 -4x-10y=24 Add the equations together 4x-5y=-6 -4x-10y=24 You are left with -15y = 30 Solve for y y = -2 So your final answer for the elimination would be (3,-2)