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Solve the System 2x+3y+5z=234x2y+4z=96xy+13z=5\begin{aligned}2 x + 3 y + 5 z & = - 23 \\- 4 x - 2 y + 4 z & = 9 \\- 6 x - y + 13 z & = - 5\end{aligned}

Question 73

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.
- 2x+3y+5z=234x2y+4z=96xy+13z=5\begin{aligned}2 x + 3 y + 5 z & = - 23 \\- 4 x - 2 y + 4 z & = 9 \\- 6 x - y + 13 z & = - 5\end{aligned}


A) {(1,2,3) }\{ ( - 1 , - 2 , - 3 ) \}
B) {(1,3,2) }\{ ( - 1 , - 3 , - 2 ) \}
C) No solution; inconsistent
D) Infinitely many solutions; dependent

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