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Math Help - Algebra Problem

  1. #1
    Member srirahulan's Avatar
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    Arrow Algebra Problem

    If  x+y=a,z+x=2b,y+z=3c show that x^2+y^2+z^2-xy-yz-zx show that in terms of a,b,c
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  2. #2
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    Re: Algebra Problem

    Quote Originally Posted by srirahulan View Post
    If  x+y=a,z+x=2b,y+z=3c show that x^2+y^2+z^2-xy-yz-zx show that in terms of a,b,c
    \displaystyle \begin{align*} x + y \phantom{ + z } &= a \\ x \phantom{ + y} + z &= 2b \\ \phantom{x + } y + z &= 3c \end{align*}

    Subtract row 1 from row 2

    \displaystyle \begin{align*} x + y \phantom{ +z} &= a \\ \phantom{x} -y + z &= 2b - a \\ \phantom{x + } y + z &= 3c \end{align*}

    Add row 2 to row 3

    \displaystyle \begin{align*} x + y \phantom{ + z} &= a \\ \phantom{x} -y + z &= 2b - a \\ 2z &= 2b - a + 3c \end{align*}

    You should be able to evaluate x, y, z now, and from there solve your problem.
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  3. #3
    Member srirahulan's Avatar
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    Re: Algebra Problem

    thanks>>><<<
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