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Find all solutions of each system. $$\left\{\begin{aligned} x+y+z+w &=4 \\ x-2 y-z-w &=3 \\ 2 x-y+z-w &=2 \\ x-y+2 z-2 w &=-7 \end{aligned}\right.$$...

Question

Find all solutions of each system. $$\left\{\begin{aligned} x+y+z+w &=4 \\ x-2 y-z-w &=3 \\ 2 x-y+z-w &=2 \\ x-y+2 z-2 w &=-7 \end{aligned}\right.$$

Find all solutions of each system. $$\left\{\begin{aligned} x+y+z+w &=4 \\ x-2 y-z-w &=3 \\ 2 x-y+z-w &=2 \\ x-y+2 z-2 w &=-7 \end{aligned}\right.$$



Answers

Complete each system for the given number of solutions.
$$
\begin{array}{l}{\text { one solution }} \\ {\left\{\begin{aligned} x+y+z &=7 \\ y+z &=\\ z &=\mathbb{m} \end{aligned}\right.}\end{array}
$$


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