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Math Help - Partial fractions

  1. #1
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    Partial fractions

    Evaluate the values of a and b in the following:

    a(2x + 3) + b(5 - x) = 4 - 6x
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  2. #2
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    for x = \frac{-3}{2}

    a(0)+b\left(5-\frac{-3}{2}\right)=4-6\left(\frac{-3}{2}\right)

    b\left(5-\frac{-3}{2}\right)=4-6\left(\frac{-3}{2}\right)

    b=\frac{4-6(\frac{-3}{2})}{(5-\frac{-3}{2})}

    b=\dots



    and for x = 5

    a(5\times5+3)=4-6\times 5

     a=\frac{4-6\times 5}{(5\times5+3)}

     a=\dots
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  3. #3
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    Quote Originally Posted by Joker37 View Post
    Evaluate the values of a and b in the following:

    a(2x + 3) + b(5 - x) = 4 - 6x

    2ax+3a+5b-bx=4-6x

    2ax-bx+3a+5b=4-6x

    (2a-b)x+3a+5b=4-6x

    3a+5b+(2a-b)x=4-6x

    By comparing ,

    3a+5b=4 --- 1

    2a-b=-6 --- 2

    Solve the system .
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