Question

What are the ordered pairs of the

solutions for this system of equations?
f(x)=x^2 – 2x + 3; f(x) = -2x + 19

(4, [?]); ([ ], [])

Answer 1

(4, 11) is one ordered pair and (-4, 27) is the other ordered pair

Explanation:

(1) f(x) = x^2 - 2x + 3 (2) f(x) = -2x + 19

-2x + 19 = x^2 - 2x + 3

x^2 - 16 = 0

(x - 4)(x + 4) = 0

x = 4 or x = -4 -2(4) + 19 = 11

-2(-4) + 19 = 27

So, when x = 4, y = 11 and when x = -4, y = 27

(4, 11) is one ordered pair and (-4, 27) is the other ordered pair