Question

What are the solutions of the system?

Answer 1

do you mean in an equation

Answer 2

`y=x^2-3x+2 \\y=4x-4`

A. (1, 0) and (–6, –28)

B. (1, 20) and (6, 0)

C. (1, 0) and (6, 20)

D. no solution

Correct answer is C.

`y=x^2-3x+2 \\y=4x-4\\ \\4x-4=x^2-3x+2 \\x^2-7x+6=0 \\x^2-6x-x+6=0 \\x(x-6)-(x-6)=0 \\(x-6)(x-1)=0 \\x=6\,\text{ or }x=1 \\y=4* 6-4=20 \,\text{ or }y=4* 1-4=0 \\ \\(6,20)\,\text{ and }(1,0)`