(0, - 3) or (2, 1)
Since both equations express y in terms of x we can equate them
x² - 3 = 2x - 3
subtract 2x from both sides
x² - 2x - 3 = - 3
add 3 to both sides
x² - 2x = 0
take out a common factor of x
x(x - 2) = 0
equate each factor to zero and solve for x
x = 0 or x - 2 = 0 ⇒ x = 2
substitute values of x into y = 2x - 3 for corresponding values of y
x = 0 → y = 0 - 3 = -3 ⇒ (0, -3)
x = 2 → y = 4 - 3 = 1 ⇒ (2, 1)