What is the solution set of y x2 2x 7 and y x 7?

To find the solution set of the equations ( y = x^2 - 2x + 7 ) and ( y = x + 7 ), we can set them equal to each other: ( x^2 - 2x + 7 = x + 7 ). Simplifying this gives ( x^2 - 3x = 0 ), which factors to ( x(x - 3) = 0 ). Thus, the solutions for ( x ) are ( x = 0 ) and ( x = 3 ). Substituting these values back into ( y = x + 7 ) yields the points ( (0, 7) ) and ( (3, 10) ) as the solution set.