What are the ordered pairs of the solutions for this system of equations? f(x) = x2 – 2x + 3; f(x) = -5x + 1
1 answer:
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Answer:
(-2, 11), (-1, 6)
Step-by-step explanation:
We can find the values of x that make the difference between the functions be 0.
f(x) -f(x) = 0
x^2 -2x +3 -(-5x +1) = 0
x^2 +3x +2 = 0 . . . . . . . . . . simplify
(x +2)(x +1) = 0 . . . . . . . . . . . factor
Values of x that make these factors zero are solutions:
x = -2, x = -1
The corresponding values of y are ...
y = -5(-2) +1 = 11
y = -5(-1) +1 = 6
The ordered pairs that are solutions are (-2, 11) and (-1, 6).
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