Respuesta :
x + y = 2 —> y = 2 - x
insert to first equation
2-x=x^2-3x-6
x^2 - 3x - 6 - 2 + x = 0
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2
insert to first equation
2-x=x^2-3x-6
x^2 - 3x - 6 - 2 + x = 0
x^2 - 2x - 8 = 0
(x-4)(x+2) = 0
x = 4 or x = -2
Answer:
x=-2 and y=4 or x=4 and y=-2
Step-by-step explanation:
put the value for y (first equation) in for the y in the second equation so it is x+x^2-3x-6=2
simplify
x^2-2x-8=0
factor and you get (x-4)(x+2)=0
(x-4)=0. x=4
x+2=0 x=-2
now insert that back into x+y=2
and you get
y=-2
y=4
respecitvely
Hope this helps :)