Interpret the Given Matrix as a System of Linear Equations $\left[\begin{array}{ccc}4 & -6 & 8 \\ -2 & \frac{6}{7} & 7\end{array}\right]$

Multiple Choice

Interpret the given matrix as a system of linear equations. Use x for the first variable, y for the second variable, and z for the third variable. $\left[\begin{array}{ccc}4 & -6 & 8 \\ -2 & \frac{6}{7} & 7\end{array}\right]$

A)
$\left\{\begin{array}{r}4 x-6 y+8 z \\ -2 x+\frac{6}{7} y+7 z\end{array}\right\}$

B)
$\left\{\begin{aligned} 4 & =6 x+8 y \\ -2 & =\frac{6}{7} x+7 y\end{aligned}\right\}$

C)
$\left\{\begin{aligned} 4 x-6 y & =8 z \\ -2 x+\frac{6}{7} y & =7 z\end{aligned}\right\}$

D)
$\left\{\begin{aligned} 4 x-6 y & =8 \\ -2 x+\frac{6}{7} y & =7\end{aligned}\right\}$