Solve the system: y = x^2 – 7, y = x - 7

Answer 1

Eq. 1 y = x² - 7

Eq. 2 y = x -7

Set equation 1 = equation 2

x² - 7 = x - 7

x² - x = 0

x( x -1) = 0

So x = 0 or x = 1

When x = 0 y = 0 - 7 = -7

When x = 1 y = 1 - 7 = -6

The ordered pairs will be: (0, -7) ; (1, -6) . These are two points in which the parabola y = x² -7 and the line y = x -7 intersect.