Question

Which of the following best describes the number of solutions to the system of equations below?

Answer 1

We could rewrite

2x + 3 = y

-4y + 8x = -12

as

2x - 1y = -3

8x - 4y = -12

We need to compare these two results. Do they represent the same equation or two different equations? Dividing the 2nd equation by 4 results in 2x - y = -3, which is indeed exactly the same as the first equation. Because of this, we have two straight lines that are superimposed; one lies right on top of the other. Thus, this system has an infinite number of solutions.

Answer 2

This system has an infinite number of solutions letter d is the answer