Question

Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.

(1, 1)
(0, 1) and (1, 1)
(0, 0) and (1, 1)
no solutions

Answer 1

Hello,

sol={(1,1)}

Answer A

Answer 2

`(1,1)`

Explanation:

we have

`y=x^(2)-x+1` -------> equation A

`y=x` -------> equation B

we know that

The solution of the system of equations is the intersection points both graphs

using a graphing tool

see the attached figure

The intersection both graphs is the point
`(1,1)`

therefore

the solution is the point
`(1,1)`