Question

How do you use the Substitution Method to solve y=x^2 and y=x+6 in terms of finding the larger and smaller x value?

Answer 1

y=x^2 and y=x+6
hence (x+6)=x^2
or x^2 -x-6=0
or x^2-3x+2x-6=0
or x(x-3)+2(x-3)=0
or (x-3)(x+2)=0
hence x=3 or x=-2
when x=3 y=3+6=9
and when x=-2 y=-2+6=4