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Math Help - Solving for x, y, z, w in a matrix

  1. #1
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    Solving for x, y, z, w in a matrix

    this is my 2nd question in over 12+ hours.

    \left[\begin{matrix}x+y&x+z\\y+z&w\end{matrix}\\]

    Equals

    \left[\begin{matrix}3&4\\5&4\end{matrix}\\]

    i got
    x + y = 3 x+z = 5
    y + z = 5 w=4

    and i don't know what to do from there. text book is really horrible.
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  2. #2
    Senior Member yeKciM's Avatar
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    u always look how u can easy ur task ... u can do like this (or any another)
    x+y=3    \to    y=3-x 1)
    y+z=5 2)
    x+z=5    \to    z=5-x 3)

    1) and 3) in 2) ...
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  3. #3
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    Thanks a million yeKciM
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  4. #4
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    Quote Originally Posted by mgrexGT1 View Post
    this is my 2nd question in over 12+ hours.

    \left[\begin{matrix}x+y&x+z\\y+z&w\end{matrix}\\]

    Equals

    \left[\begin{matrix}3&4\\5&4\end{matrix}\\]

    i got
    x + y = 3 x+z = 5
    y + z = 5 w=4

    and i don't know what to do from there. text book is really horrible.
    You have four equations in four unknowns: x+ y= 3, x+ z= 5, y+ z= 5 and w= 4.
    If you subtract the third equation from the second, you eliminate z: x+ z- (y+ z)= x- y= 0.
    Can you solve the two equations x+ y= 3 and x- y= 0?
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