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41 5.6 Solving for Four Variables

Three-dimensional space and time problems. Have fun solving these!  🙂

Questions

  1. \(\left\{
    \begin{array}{rrrrrrrrr}
    t&+&x&+&y&+&z&=&6 \\
    t&+&2x&+&2y&+&4z&=&17 \\
    -t&+&x&-&y&-&z&=&-2 \\
    -t&+&3x&+&y&-&z&=&2
    \end{array}
    \right.\)
  2. \[
    \left\{
    \begin{array}{rrrrrrrrr}
    t & + & x & - & y & + & z &=& -1 \\
    -t & + & 2x & + & 2y & + & z &=& 3 \\
    -t & + & 3x & + & y & - & z &=& 1 \\
    -2t & + & x & + & y & - & 3z &=& 0
    \end{array}
    \right.
    \]

Answer Key 5.6

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