The Following System Does Not Have a Unique Solution $\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \\ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.$

Multiple Choice

The following system does not have a unique solution. Solve the system.
- $\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \\ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.$

A) x = - 8 , y & = 1 , z = - 1
B) infinitely many solutions of the form $x = - 10 - 2 z , y = 1 , z = z$
C) infinitely many solutions of the form $x = - 10 - 2 z , y = 1 - z , z = z$
D) inconsistent system, no solution