### Home > INT2 > Chapter 12 > Lesson 12.2.4 > Problem 12-136

12-136.

Use your knowledge of graphing to determine the number of solutions of this system. Do not actually solve the system. Explain your reasoning.

*y*= −2(*x*− 1)^{2}− 3

5*x*+ 2*y*+ 10 = 0

Rewrite the equation of the line in *y* = *mx* + *b* form.

Think about where would it be located on a graph.

Where is the vertex of the parabola?

Which direction does it open?