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7 February, 22:33

If 2x + y = 6 and m - n = 2, what is the value of (4x + 2y) (4m - 4n)

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Answers (2)
  1. 8 February, 01:18
    0
    96

    Step-by-step explanation:

    If m - n = 2, then 4m - 4n = 4 (m - n) = 4 (2).

    Then (4x + 2y) (4m - 4n) equals (4x + 2y) (8), or 8 (4x + 2y).

    But we are told that 2x + y = 6. Multiplying all terms by 2, we get

    4x + 2y = 12. Substituting 12 for 4x + 2y, we get our final answer:

    (4x + 2y) (4m - 4n) equals (4x + 2y) (8), or 8 (4x + 2y), or 8 (12) = 96
  2. 8 February, 01:55
    0
    96

    Step-by-step explanation:

    (4x + 2y) (4m - 4n) = ?

    We have an equation

    2x+y = 6

    Multiply it by 2

    2 (2x+y) = 2*6

    Distribute

    4x+2y = 12

    Substitute 12 in for 4x+2y into the original problem

    12 (4m - 4n) = ?

    We have an equation

    m-n = 2

    Multiply this by 4

    4 (m-n) = 4*2

    Distribute

    4m-4n = 8

    Substitute 8 in for 4m - 4n in 12 (4m - 4n) = ?

    12 * 8 = ?

    96
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