Question

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)

Answer 1

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)