Solve the System A) No Solution; Inconsistent
B) $\{ ( - 2 , - 6,1 ) \}$

question 23

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{aligned}x - \frac { 3 } { 4 } y + \frac { 5 } { 4 } z & = \frac { 15 } { 4 } \\- \frac { 1 } { 4 } x + \frac { 1 } { 2 } y + \frac { 1 } { 8 } z & = - \frac { 19 } { 8 } \\- \frac { 5 } { 2 } x + \frac { 9 } { 2 } y + z & = - 21\end{aligned}$$

• A) No solution; inconsistent
• B) \(\{ ( - 2 , - 6,1 ) \}\)
• C) \(\{ ( 0,0,0 ) \}\)
• D) \(\{ ( 2,1,2 ) \}\)

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