Need help with this simultaneous equation

[gazza123]

I've got to solver the simultaneous equations
y = x2 - x - 6
and
x - y + 2 = 0


I've tried it four different times and failed each time.

Cheers.

PS. x2 = x squared

 

[Saoist]

make y the subject of the 2nd one, equate the two, and solve it like a quadratic...?

ie. x+2=x^2-x-6

 

[HallsofIvy]

I've got to solver the simultaneous equations
y = x2 - x - 6
and
x - y + 2 = 0
I've tried it four different times and failed each time.
Cheers.
PS. x2 = x squared

From the second equation, y= x+ 2 so the first equation becomes
x+ 2= x²- x- 6 or x²- 2x- 8= 0.
Solve that equation. That's easy to factor. Once you have x, put it into y= x+ 2 to find the corresponding y.