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Find the Order pairs

Find the Order pairs-example-1
User Amuliar
by
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1 Answer

3 votes

Answer:

(- 1, 6 ) and (2, 3 )

Explanation:

y = x² - 2x + 3 → (1)

y = - x + 5 → (2)

substitute y = x² - 2x + 3 into (2)

x² - 2x + 3 = - x + 5 ( add x to both sides )

x² - x + 3 = 5 ( subtract 5 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

x - 2 = 0 ( add 2 to both sides )

x = 2

substitute each of these values into (2) for corresponding values of y

x = - 1 : y = - (- 1) + 5 = 1 + 5 = 6 ⇒ (- 1, 6 )

x = 2 : y = - 2 + 5 = 3 ⇒ (2, 3 )

solutions are (- 1, 6 ) and (2, 3 )

User Suliman
by
8.4k points

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