Answer
The solution is $(0,5)$.
Work Step by Step
The given system is
$y-5=-x^2$ ...... (1)
$y=5$ ...... (2)
Substitute $5$ for $y$ in equation (1).
$\Rightarrow 5-5=-x^2$
Simplify.
$\Rightarrow 0=-x^2$
Multiply each side by $-1$.
$\Rightarrow 0=x^2$
Take square root on each side.
$\Rightarrow 0=x$
Hence, the solution is $(0,5)$.
