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? asked in Science & MathematicsMathematics · 6 years ago

rearranging?

Make a the subject

P = 3+5/4-a

2 Answers

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  • Fred
    6 years ago

    Yes, I agree with the other answerer, brackets are needed.

    P = 3 + (5 / (4-a))

    Multiply both sides by (4-a)

    P(4 - a) = 3 (4 - a) + 5

    Subtract 3 (4 - a)

    P(4 - a) - 3(4 - a) = 5

    Grouping in pairs

    (P - 3)(4 - a) = 5

    Divide by (P - 3)

    4 - a = 5 / (P - 3)

    Subtract 4

    - a = 5 / (P - 3) - 4

    Divide by - 1

    a = - ( 5 / (P - 3) - 4 )

    = - 5 / (P - 3) + 4

  • az_lender
    Lv 7
    6 years ago

    If you meant what you wrote, then a = 3 + 5/4 - P.

    But if you meant P = 3 + 5/(4-a),

    then you should've typed the parentheses, and

    4P - 4a = 12 - 3a + 5 =>

    a = 4P - 17.

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