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31 December, 07:18

Solve the system using substitution.

y = 7x - 12

y = x2

A) (-3,9), (-4,16)

B) (-3,9), (4,16)

C) (3,9), (-4,16)

D) (3,9), (4,16)

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Answers (1)
  1. 31 December, 08:33
    0
    C) (3,9), (-4,16)

    Step-by-step explanation:

    hello:

    the system is : y = 7x - 12

    y = x²

    x²=7x-12

    x²-7x+12=0

    ∆ = b² - 4ac a = 1 b = - 7 c=12

    ∆ = (-7) ² - 4 (1) (12) = 49-48 = 1

    X1 = (-b-√∆) / 2a = (7-1) / 2=3

    X2 = (-b+√∆) / 2a = (7+1) / 2=4

    but : y=x²

    if : x = 3 y=9

    if : x=4 y=16

    two solutions:

    answer : C) (3,9), (-4,16)
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