### Home > A2C > Chapter 10 > Lesson 10.2.1 > Problem10-69

10-69.

How many solutions are there to the system of equations below? Justify your response.

$y = x^{2} − 2x + 2 \\y = 2x − 2$

Substitute for y and solve:

$\left(x − 2\right) = x^{2} − 2x + 2$

Once you find $x$, remember to substitute it back intoone of the original equations to find the corresponding y-value.