Question

Y=x^2+12x+10 -8x+y=10

Answer 1

Sub x^2+12x+10 for y in other equaiton

-8x+x^2+12x+10=10
x^2+4x+10=10
minus 10 both sides
x^2+4x=0
factor
(x+4)(x)=0
set to zer

x+4=0
x=-4

x=0

x=-4 or 0
sub back

y=0^2+12(0)+10, y=10
(0,10)

y=(-4)^2+12(-4)+10, y=-22
(-4,-22)



solutions are
(0,10) and (-4,-22)