a) Consider the linear system $$ \left\{\begin{array}{c}x-y-3 z=3 \ 2 x+z=0 \ 2 y+7 z=c\end{array} ight. $$ i) For what value of $$ c $$ does the system have a solution? ii) Solve the system at the value of $$ c $$ from part (i)?

Question

a) Consider the linear system $$ \left\{\begin{array}{c}x-y-3 z=3 \ 2 x+z=0 \ 2 y+7 z=c\end{array}ight. $$ i) For what value of $$ c $$ does the system have a solution? ii) Solve the system at the value of $$ c $$ from part (i)?

Adkins Newton · Accepted Answer

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).

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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Respuesta rápida

Solución paso a paso

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)?

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

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