Transforming Formulas: 1/a+1/b=1/c. Solve for c.?

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I need help for this question:

1/a+1/b=1/c Solve for c.

Can you please include this process, too?

8 Answers

  • abc[1/a+1/b=1/c]

    bc+ac=ab

    c(b+a)=ab

    c=ab/(a+b)

  • 1/a – 1/b = 1/c

  • 1/a + 1/b = 1/c

    c(1/a + 1/b) = 1

    c/a + c/b = 1

    (ca + cb)/ab = 1

    ca + cb = ab

    c(a + b) = ab

    c = ab/(a + b)

    Answer: c = ab/(a + b)

    Checking equality of sides: substitute c with ab/(a + b):

    1/a + 1/b = 1/(ab/[a + b])

    1/a + 1/b = (a + b)/ab

    ab(1/a + 1/b) = a + b

    b + a = a + b

  • Solve For C

  • 1/a + 1/b = 1/c

    (b + a)/ab = 1/c

    c = ab/(a + b)

  • 1/a + 1/b = 1/c

    Multiply all terms by abc

    bc + ac = ab

    c(b+a) = ab

    c = ab / (a+b)

  • c=ab/(a+b)

  • c/a+c/b=1

    2c/

    Source(s): i am bored

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