Question

Susi and Janet have been solving systems of equations with one polynomial function of degree two or higher and one linear function. Janet says there must always be one solutions, and Susi says there will always be two solutions. Using complete sentences, explain how Susi can be correct, how Janet can be correct, and how they both can be wrong.

Answer 1

@Directrix

Answer 2

because they both say always, they are both wrong. If always wasn't part of the statement, each could be correct. But if the poly has a degree of 2, and a vertex say at (0, 5) the line y = x would never intersect it. Y = x + 5 would intersect it at one point, and y = x+10 at two points.