Answer
The solution is $(0,9)$.
Work Step by Step
The given system is
$y=x^2+9$ ...... (1)
$y=9$ ...... (2)
Substitute $9$ for $y$ in equation (1).
$\Rightarrow 9=x^2+9$
Subtract $9$ from each side.
$\Rightarrow 9-9=x^2+9-9$
Simplify.
$\Rightarrow 0=x^2$
Take square root on each side.
$\Rightarrow 0=x$
Substitute $0$ for $x$ in equation (2).
$\Rightarrow y=9$
Hence, the solution is $(0,9)$.
