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5 September, 04:07

Solve the system of equations by multiplying first. Enter the solution as an ordered pair.

4x + 8y = 64

| 7x - 2y = 32

+2
Answers (1)
  1. 5 September, 04:38
    0
    (6, 5)

    Step-by-step explanation:

    Given the 2 equations

    4x + 8y = 64 → (1)

    7x - 2y = 32 → (2)

    Multiplying (2) by 4 and adding to (1) will eliminate the y - term

    28x - 8y = 128 → (3)

    Add (1) and (3) term by term, that is

    32x = 192 (divide both sides by 32)

    x = 6

    Substitute x = 6 into either of the 2 equations

    Substituting x = 6 into (1)

    4 (6) + 8y = 64, that is

    24 + 8y = 64 (subtract 24 from both sides)

    8y = 40 (divide both sides by 8)

    y = 5

    Solution is (6, 5)
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