Question

use elimination or substitution to solve this: y=x^2 and x^2+y^2=12

Answer 1

substitute x^2 in the second equation with y solve the quadratic equation.

Answer 2

use substitution

substitute x^2 = y into the circle equation

\[y + y^2 - 12 = 0\]

which can be written as

\[y^2 + y - 12 = 0\]

now you have a quadratic that can be factorised...

just solve for y...

Answer 3

when you have y, find x