Find the value of a in the equation 5/a+3=3/a-2?

9 Answers

  • multiply the 2 parts by a :

    5+3a = 3-2a

    So

    5a = -2

    a=-2/5=-0.4

  • If you mean to ask your problem as written,

    5 / a + 3 = 3 / a – 2 yields a = (-2 / 5).

    If you meant the problem to be

    5 / (a + 3) = 3 / (a – 2),

    then be sure to use parentheses to show the proper order of operations when writing your problem on one line.

    5 / (a + 3) = 3 / (a – 2) can be solved by cross-multiplying, like any proportion.

    5(a – 2) = 3(a + 3) [Distribute.]

    5a – 10 = 3a + 9 [Add (-3a + 10) to both sides to isolate the variable.]

    2a = 19

    a = 19 / 2 = 9 1/2 = 9.5

  • a= 9 1/2

  • If you meant: 5 / (a +3) = 3 / (a – 2), then do it like this.

    Multiply both sides by [(a + 3)(a – 2)].

    5(a – 2) = 3(a + 3)

    5a – 10 = 3a + 9

    2a = 19

    a = 19/2 or 9.5

    If you meant what you typed, which is 5/a + 3 = 3/a – 2, then do this.

    Add 2 to both sides.

    5/a + 5 = 3/a

    Now, multiply everything by “a”.

    5 + 5a = 3

    5a = -2

    a = -2/5 or -.4

  • 2a=-5

  • Multiply both sides of the equation by to get rid of the denominator a. You then get the equation 5+3a=3-2a. Subtract 5 from both sides to get 3a-=-2-2a. Add 2a to both sides to get 5a=-2. solve for a by dividing both sides by 5. answer: a=-2/5

  • (5/(a + 3)) = (3/(a – 2))

    cross multiply

    5(a – 2) = 3(a + 3)

    5a – 10 = 3a + 9

    2a = 19

    a = (19/2)

  • 5/a+3=3/a-2

    take same varibles on same side

    5/a-3/a=-2-3=-5

    2/a=-5

    a=-(2/5)

  • 5(a-2)=3(a+3)

    2a=19

    a=9.5

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