Question

Solve by system of equations y=x-2 y=x^2-5x+6

Answer 1

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)