Solve the following system of equations.
\[
\left\{\begin{array}{l}
y=x^{2}-8 x+2 \\
y=-2 x+18
\end{array}\right.
\]
If there is more than one solution, use the "or" button.
\[
(x, y)=\mathbb{1} . \square
\]
Answer
\(\boxed{The solutions to the system of equations are (x, y) = (-2, 22) or (x, y) = (8, 2)}\)
Step 1 ：The system of equations is a combination of a quadratic equation and a linear equation.
Step 2 ：To solve this system, we can set the two equations equal to each other and solve for x.
Step 3 ：Then, we can substitute the x values into one of the equations to find the corresponding y values.
Step 4 ：The solutions to the system of equations are \( (x, y) = (-2, 22) \) or \( (x, y) = (8, 2) \).
Step 5 ：\(\boxed{The solutions to the system of equations are (x, y) = (-2, 22) or (x, y) = (8, 2)}\)
