Question

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

y = 2x + 6
y = 4x + 6
–y = –2x – 3
–y = –4x + 6

Answer 1

Hi there!

`\large\boxed{y = 2x + 6}`

For a system to have infinite solutions, the lines have to be the same. We can begin by rearranging the given equation into the format y = mx + b:

2y - 4x = 6

Move x to the opposite side:

2y = 4x + 6

Divide all terms by 2:

y = 2x + 6

The answer choice that matches this is the first one.