Question

2/3x - 1/2y = 3
1/2x + y = 5

Which of the following systems is equivalent to the given system?

A) 2x - y = 18 and x + 2y = 10
B) 4x - 3y = 18 and x + 2y = 10
C) 2x - 3y = 3 and x + 2y = 5

Answer 1

2/3x - 1/2y = 3      |multiply both sides by 6
4x - 3y = 18

1/2x + y = 5      |multiply both sides by 2
x + 2y = 10

Answer: B) 4x - 3y = 18 and x + 2y = 10