Question

Which represents the solution(s) of the system of equations, y = x2 â€" 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

The solution to the equation is (1, 1)

Given the following equations

• y = x^2 - x - 1  and  y = x

equating both expressions will give:

x^2 - x + 1 = x

x^2 - x  + 1 - x = 0

x^2 - 2x + 1 = 0

Factorize the equation;

x^2 - x - x + 1 = 0

x(x-1)-1(x-1) = 0

(x-1)(x-1) =0

x = 1

Substitute x = 1 into the function y  = x. Since y = x, hence y = 1.

The solution to the equation is (1, 1)

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Answer 2

Answer:

1,1

Step-by-step explanation: