Question

Suppose you are solving a system of equations where one equation is and the graph of the other equation is a line. What are the possible number of solutions?

Answer 1

I think you skipped a word in your question.

Answer 2

o my bad. i copied and pasted but it didnt copy and paste y = radical x

Answer 3

What does a typical radical graph look like. And the cases of lines?
The number of solutions is how many times they intersect.

Case A: The line is vertical.
sub 1: If it is vertical where the radical exists, 1 solution
sub 2: If it is vertical where the radical does not exist, no solutions

Case B: The line is horizontal.
sub 1: If it is horizontal where the radical exists, 1 solution
sub 2: If it is horizontal where the radical does not exist, no solutions

Case C: The line has a negative slope.
sub 1: If it is right where the radical exists, 1 solution
sub 2: If it is left where the radical does not exist, no solutions

Case D: The line has a positive slope.
sub 1: If it is left where the radical exists, no solutions
sub 2: If it is right, close to the start of the radical, 2 solutions
sub 3: If it is right far from the start of the radical, 1 solution