Chapter 5 - Section 5.5 - Nonlinear Systems of Equations - 5.5 Exercises - Page 529: 7

See the explanation.

Note, the first equation is a quadratic and its graph is parabola. While the second equation is linear and its graph is a line. When graphed both on the same coordinate plane, maximum number of intersection points is $2$. So, this system cannot have more than $2$ solutions.