Question

Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solutionx - 2y = −6-x + 2y -6 = 0

Answer 1

The system of equations given has infinitely many solutions.

We can solve this system by using substitution. We can set x = 2y - 6, and then plug in this x into the second equation. By doing this, we end up with only y in the equation and we can begin to solve for y. When we try to solve for y, we get 0 = 0. This means the system of equations has infinitely many solutions.