We consider the system given by the following augmented matrix $$ \left[\begin{array}{rrr|r}2 & 1 & -3 & 2 \ 2 & -3 & 1 & 10 \ -2 & 1 & 1 & -6\end{array} ight] $$ Is there a value of $$ \alpha $$ such that $$ x=\alpha, y=1, z=3 $$ is a solution of the system?

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We consider the system given by the following augmented matrix $$ \left[\begin{array}{rrr|r}2 & 1 & -3 & 2 \ 2 & -3 & 1 & 10 \ -2 & 1 & 1 & -6\end{array}ight] $$ Is there a value of $$ \alpha $$ such that $$ x=\alpha, y=1, z=3 $$ is a solution of the system?

Little Mitchell · Accepted Answer

The value of $$ \alpha $$ is 5.

We consider the system given by the following augmented matrix \( \left[\begin{array}{rrr|r}2 & 1 & -3 & 2 \\ 2 & -3 & 1 & 10 \\ -2 & 1 & 1 & -6\end{array}\right] \) Is there a value of \( \alpha \) such that \( x=\alpha, y=1, z=3 \) is a solution of the system?

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We consider the system given by the following augmented matrix \( \left[\begin{array}{rrr|r}2 & 1 & -3 & 2 \\ 2 & -3 & 1 & 10 \\ -2 & 1 & 1 & -6\end{array}\right] \) Is there a value of \( \alpha \) such that \( x=\alpha, y=1, z=3 \) is a solution of the system?

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