Question

2/3x - 1/2y = 3

1/2x + y = 5

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

2x - y = 18 and x + 2y = 10
4x - 3y = 18 and x + 2y = 10
2x - 3y = 3 and x + 2y = 5

Answer 1

4x - 3y = 18 and x + 2y = 10

Answer 2

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: 4x - 3y and x + 2y = 10.