The Following Matrix Equation Is Equivalent to Which System of Linear

Multiple Choice

The following matrix equation is equivalent to which system of linear equations $\left[ \begin{array} { c c c } 5 & - 1 & 4 \\0 & 2 & 3 \\1 & 5 & 0\end{array} \right] \cdot \left[ \begin{array} { l } x \\y \\z\end{array} \right] = \left[ \begin{array} { c } 50 \\- 30 \\90\end{array} \right]$

A) $\left\{ \begin{array} { l } 8 x = 50 \\5 y = - 30 \\6 z = 90\end{array} \right\}$
B) $\left\{ \begin{aligned}5 x - y + 4 z - 50 & = x \\2 y + 3 z + 30 & = y \\x + 5 y - 90 & = z\end{aligned} \right\}$
C) $\left\{ \begin{array} { r } 5 x - y + 4 z + 50 = 0 \\2 y + 3 z - 30 = 0 \\x + 5 y + 90 = 0\end{array} \right\}$
D) $\left\{ \begin{aligned}5 x - y + 4 z & = 50 \\2 y + 3 z & = - 30 \\x + 5 y & = 90\end{aligned} \right\}$
E) $\left\{ \begin{aligned}5 x + z & = 50 \\- x + 2 y + 5 z & = - 30 \\4 x + 3 y & = 90\end{aligned} \right\}$