Question

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-12x + 27y = 60
-6x – 6y = 30

Answer 1

a. -12x + 27y = 60
b. -6x – 6y = 30

a. (1) -12x +27y=60
b. (-2) 12x +6y=-60
33y=0
y=-33

-6x-6(-33)=60
-6x -198=60
6x=258
x=43
(43,-33)

Answer 2

You have the right idea when you multiply the second equation by -2 but you need to multiply each term
so it should be 12x+12y=-60
then when you add equation 1 and modified equaiton 2 you get
39y=0 and the answer to this is not y =39 but is y =0 (divide both sides by 39).

Then substitutie y =0 into either eqaution 1 or two and solve for x (I think youget x=-5