Which of the following pairs of equations represents parallel lines?

A. 2x + 3y = 6 and 4x + 6y = 12

B. x + y = 5 and 2x + 2y = 10

C. 3x - y = 2 and 3x + y = 4

D. x - 2y = 3 and 2x - 4y = 6

E. None of the above

Answer: A. 2x + 3y = 6 and 4x + 6y = 12

The equations 2x + 3y = 6 and 4x + 6y = 12 are equivalent, hence they represent the same line, making them parallel.

Posted in: Linear Equations - Algebra - Mathematics