Question

When solving a system of 2 equations with 2 variables graphically what types of lines would give you infinitely many solutions?

Answer 1

Identical lines.

Explanation:

To have infinitely many solutions, the lines would have to overlap. Both lines have the same appearance on a graph. They intersect at all points, giving infinitely many solutions. They many have two equations, such as y = 2x + 5 and 2y = 4x+10, but some math will reveal the equations are, in fact, the same.