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

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)