The Following System Does Not Have a Unique Solution $$\left\{ \begin{array} { c } - 2 x + 3 y + z = - 24 \\3 x - y + 5 z = 8 \\x + 2 y + 6 z = - 16 \\\end{array} \right.$$

question 23

Multiple Choice

The following system does not have a unique solution. Solve the system.
- $$\left\{ \begin{array} { c } - 2 x + 3 y + z = - 24 \\3 x - y + 5 z = 8 \\x + 2 y + 6 z = - 16 \\\end{array} \right.$$

• A) x = 0 , y = - 8 , z = 0
• B) infinitely many solutions of the form \(x = - \frac { 16 } { 7 } z , y = - 8 - \frac { 13 } { 7 } z , z = z\)
• C) inconsistent system, no solution
• D) \(x = - \frac { 16 } { 7 } , y = \frac { 43 } { 7 } , z = 1\)