Question

Solve this system algebraically.

y=x^2-12x+33
y=4x-30

Show your work.

Answer 1

because y=x^2-12x+33      y=4x-30
so x^2-12x+33=4x-30
X^2-12X-4X=-30-33
X^2-16X=-63
X^2-16X+64=-63+64
(X-8)^2=1
X-8=1 and -1
X=9 and X=7