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Math Help - System of Equations/Logic Puzzle Help

  1. #1
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    System of Equations/Logic Puzzle Help

    Solve for a+b+c+d+e.

    a+b=10
    b+c=-7
    c+d=3
    d+e=11
    e+a=1
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  2. #2
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    Re: System of Equations/Logic Puzzle Help

    Hello, Espionage!

    \text{Solve for }a+b+c+d+e.

    . . \begin{array}{ccc}a+b&=& 10 \\ b+c&=&\text{-}7 \\ c+d&=&3 \\ d+e&=&11 \\ e+a&=&1\end{array}

    Add the equations:

    . . (a + b)+(b+c)+(c+d)+(d+e)+(e+a) \;=\;10 - 7 + 3 + 11 + 1

    . . 2a + 2b + 2c + 2d + 2e \;=\;18

    . . . . . . a+b+c+d+e \;=\;9
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  3. #3
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    Re: System of Equations/Logic Puzzle Help

    Quote Originally Posted by Soroban View Post
    Hello, Espionage!


    Add the equations:

    . . (a + b)+(b+c)+(c+d)+(d+e)+(e+a) \;=\;10 - 7 + 3 + 11 + 1

    . . 2a + 2b + 2c + 2d + 2e \;=\;18

    . . . . . . a+b+c+d+e \;=\;9
    I love you man, thank you.
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