Question

Find the rational roots of this system of equation:
(x+2)(y-4) = 12
(x+3)(y+1) = 36

Is there a way to solve this without ugly substitution? ;)

Answers are: (1, 8) and (-1.2, 19)

Answer 1

I'd try and check if there are any integer roots by factoring 12 and 36..

@Kainui
@518nad

Answer 2

But the problem is that I need to obtain one root that isn't an integer (-1.2).

Answer 3

"roots" means the solutions of the function and graphically they are the values where the curve touches or intersects the x-axis.