Question

Use the elimination method to solve the system of equations. Choose the correct ordered pair. 4x + 8y = 16 4x - 8y = 0 A. (4, 2) B. (2, 4) C. (2, 1) D. (4, 0)

Answer 1

Adding both equations cancels y:

4x + 8y = 16 
4x - 8y = 0 
-----------------+
8x = 16 => x=2

filling in x=2 in the first equation gives:

4*2 + 8y = 16 => 8y = 8 => y=1

So (2,1) is the (x,y) pair that solves the two equations. Answer C.