Jimenez O'Quinn
12/20/2023 · Middle School
a) Consider the linear system \( \left\{\begin{array}{c}x-y-3 z=3 \\ 2 x+z=0 \\ 2 y+7 z=c\end{array}\right. \) i) For what value of \( c \) does the system have a solution? ii) Solve the system at the value of \( c \) from part (i)?
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The value of \( c \) for which the system has a solution is -6. One solution to the system at this value is (x, y, z) = (0, -3, 0).
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