Answer:
Explanation:
solution is the point or points where the system equations intersect.
at the intersection points the value of x and y satisfy both equations.
y=x-2
y=x²-5x+6
so
x²-5x+6=x-2
x²-5x-x+6+2=0
x²-6x+8=0
x²-2x-4x+8=0
x(x-2)-4(x-2)=0
(x-2)(x-4)=0
x-2=0 gives x=2
y=2-2=0
so point is (2,0)
x-4=0 gives x=4
y=4-2=2
so point is (4,2)