Plug in -3 for f(x) into the first equation.
-3 = x^2 - 5x + 3
x^2 - 5x + 6 = 0
Factor!
(x - 3)(x - 2) = 0
Set each binomial equal to 0 to get the x-value of the point.
x = 3
x = 2
Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.
(3)^2 - 5(3) + 3
9 - 15 + 3
-6 + 3
-3
(2)^2 - 5(2) + 3
4 - 10 + 3
-6 + 3
-3
Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)
Hope this helps!! :)
