which represents the solution(s) of the system of equations, $y = x^{2}-x + 1$ and $y = x$? determine the…

which represents the solution(s) of the system of equations, $y = x^{2}-x + 1$ and $y = x$? determine the solution set by graphing.\n(1, 1)\n(0, 1) and (1, 1)\n(0, 0) and (1, 1)\nno solutions

which represents the solution(s) of the system of equations, $y = x^{2}-x + 1$ and $y = x$? determine the solution set by graphing.\n(1, 1)\n(0, 1) and (1, 1)\n(0, 0) and (1, 1)\nno solutions

Answer

Answer:

A. (1, 1)

Explanation:

Step1: Set the equations equal

Set $x^{2}-x + 1=x$.

Step2: Rearrange to quadratic form

$x^{2}-2x + 1 = 0$.

Step3: Factor the quadratic

$(x - 1)^{2}=0$.

Step4: Solve for x

$x=1$.

Step5: Find y - value

Substitute $x = 1$ into $y=x$, so $y = 1$. The solution is the point $(1,1)$.