Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.

Question

11x + 8y = 103
22x – 7y = 68

Answer 1

11x+8y=103 (1)
22x-7y=68 (2)
Multiply (1) by -2 to cancel the x's
-22-16y=-206 (3)
22x-7y=68 (2)
Add them together.
-23y=-138
Divide by -23
y=6
Now substitute y=6 into either equation (1) or (2) to solve for x.
Post your work and answer if you'd like it checked.

Answer 2

Hi Jen,
Okay here is what I got to solve for x

11x *6 + 8y = 72
66 + 8y
8y = 9
x = 9

Okay did I do this right?

Answer 3

Solve the system for x and y. Show your work

x + y = 22
x - y = 6