Answer
$(-3,9),(4,16)$
Work Step by Step
The substitution method involves taking part of another equation and plugging it into another in the system. In this system we will plug in $x^2$ for $y$ in $y=x+12$ (because $y=x^2$ according to the other equation).
$x^2=x+12$
Subtract $x$ and $12$ to the other side.
$x^2-x-12=0$
What factors of $-12$ will add up to $-1$, the coefficient of the middle term?
$(x-4)(x+3)$
$x=-3,4$
Plug each of these into the equations
$y=(-3)^2$
$y=9$
$y=-3+12$
$y=9$
$y=(4)^2$
$y=16$
$y=4+12$
$y=16$
