Question

3x + y = 3

x + y = 2

Solve the system of equations.

A) x = 1/2, y = 3

B) x = 3, y = 1/2

C) x = 1/2, y = 3/2

D) x = 3/2, y = 1/2

Answer 1

If you would like to solve the system of equations, you can do this using the following steps:

3x + y = 3
x + y = 2 ... y = 2 - x
_________________
3x + y = 3
3x + 2 - x = 3
2x = 3 - 2
2x = 1
x = 1/2

y = 2 - x = 2 - 1/2 = 1 1/2 = 3/2

(x, y) = (1/2, 1 1/2) = (1/2, 3/2)

The correct result would be C) x = 1/2, y = 3/2.