ExampleProblemUse elimination to solve the system. x – y = −6x + y = 8 Add the equations. 2x = 2x = 1Solve for x. x + y = 81 + y = 8y = 8 – 1y = 7Substitute x = 1 into one of the original equations and solve for y. x – y = −61 – 7 = −6−6 = −6 TRUEx + y = 81 + 7 = 88 = 8TRUEBe sure to check your answer in both equations!AnswerThe solution is (1, 7).
