X + 2y = 3

3x - 2y = 5

What is the solution to the system of equations?

A) (4, 3.5)

B) (2, 1/2)

C) (2, - 1)

D) (1/2, 2)

You could plug them all in ... but a faster way:

add the 2 equations together.

You would get:

4x = 8 (the 2y and - 2y cancel out)

x = 2

Plug x back into one of the equations.

x + 2y = 3

2 + 2y = 3

2y = 1

y = 1/2

So ... B (2, 1/2)