Question

50 points! Will someone give a thorough explanation on how to solve this please!

Answer 1

two solutions (2,0) or (6,20)

Explanation:

y=x^2-3x+2, y=5x-10

y=x^2-3x+2=5x-10

x^2-2x-x+2=5(x-2)

x(x-2)-(x-2)=5(x-2)

(x-2)(x-1-5)=0

(x-2)(x-6)=0

x-2=0 or x-6=0

x=2 or x=6

x=2, y=5(2)-10=0

x=6, y=5(6)-10=20

Answer 2

The solution are (6,20) and (2,0)

Explanation:

The system of equations is:

y=x^2-3x+2 and

y=5x-10

Combining the two, x^2-3x+2=5x-10

Moving everything on one side, x^2-8x+12=0

Factoring, (x-6)(x-2)=0

x=6 or x=2

y=5(6)-10=20 or y=5(2)-10=0