Question

2x + y = 3

x - 2y = -1

If equation one is multiplied by 2 and then the equations are added, the result is _____.

A) 3x = 2
B) 3x = 5
C) 5x = 5

Answer 1

C) 5x=5

Explanation:

Multiplying an equation by a number means multiplying all its terms by that number.

Multiplying equation one by 2,

2(2x+y=3)

4x+2y=6

Adding that to equation 2,

4x+2y=6

+ x-2y=-1

The result is 5x=5