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23 June, 09:26

Use the substitution method to solve the system of equations. Choose the

correct ordered pair

x + 2y = 12

y = x + 3

O A. (5,8)

O B. (5,2)

O C. (2,1)

O D. (2,5)

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Answers (2)
  1. 23 June, 11:22
    0
    D. (2,5)

    Step-by-step explanation:

    For X:

    2+2 (5) = 12

    2+10=12

    For Y:

    5=2+3
  2. 23 June, 12:51
    0
    D

    Step-by-step explanation:

    Given the 2 equations

    x + 2y = 12 → (1)

    y = x + 3 → (2)

    Substitute y = x + 3 into (1)

    x + 2 (x + 3) = 12 ← distribute and simplify left side

    x + 2x + 6 = 12

    3x + 6 = 12 (subtract 6 from both sides)

    3x = 6 (divide both sides by 3)

    x = 2

    Substitute x = 2 into (2) for corresponding value of y

    y = 2 + 3 = 5

    Solution is (2, 5) → D
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