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6 February, 15:23

What is the solution to the rational equation 1/5+3/x-5=9/20

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  1. 6 February, 15:34
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    Solve for x over the real numbers:

    -5 + 1/5 + 3/x = 9/20

    -5 + 1/5 + 3/x = 3/x - 24/5:

    3/x - 24/5 = 9/20

    Bring 3/x - 24/5 together using the common denominator 5 x:

    - (3 (8 x - 5)) / (5 x) = 9/20

    Cross multiply:

    -60 (8 x - 5) = 45 x

    Expand out terms of the left hand side:

    300 - 480 x = 45 x

    Subtract 45 x + 300 from both sides:

    -525 x = - 300

    Divide both sides by - 525:

    Answer: x = 4/7
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