Question

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

A. y = 2x + 6
B. y = 4x + 6
C. -y = -2x -3
D. -y = -4x + 6​

Answer 1

The other equation that could be paired with the given equation to produce a system of equations with infinitely many solutions is y = 2x + 6.

Step-by-step explanation:

The system of equations given is 2y - 4x = 6 and y = mx + b.

To have infinitely many solutions, the two lines represented by the equations must be coincident (they lie on top of each other).

So, for the given equation, y = 2x + 6 could be the other equation, as it represents the same line. Therefore, the answer is A. y = 2x + 6.