Roan400 Roan400

21-05-2022
Mathematics

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(15pts) What are the ordered pairs of the solutions for this system of equations?

15pts What are the ordered pairs of the solutions for this system of equations class=

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Аноним Аноним

21-05-2022

Answer:

(2, 3)
(-2, 11)

Step-by-step explanation:

Equating the system :

x² - 2x + 3 = -2x + 7
x² - 2x + 2x + 3 - 7 = 0
x² - 4 = 0
(x + 2)(x - 2) = 0

When x = 2,

f(2) = -2(2) + 7
f(2) = 7 - 4
f(2) = 3
Ordered pair is (2, 3)

When x = -2,

f(-2) = -2(-2) + 7
f(-2) = 4 + 7
f(-2) = 11
Ordered pair is (-2, 11)

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