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.
-$\begin{array} { l }
2 x + 4 y + 3 z = 45 \
\frac { 3 } { 2 } x - \frac { 1 } { 2 } y + 5 z = 30 \
- \frac { 5 } { 3 } x + 4 y + 3 z = \frac { 80 } { 3 }
\end{array}$
A) $\{ ( - 5 , - 5,5 ) \}$
B) $\{ ( 5,5,5 ) \}$
C) $\{ ( - 5,5 , - 5 ) \}$
D) $\{ ( 5 , - 5 , - 5 ) \}$

Question

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.
-$\begin{array} { l } 
2 x + 4 y + 3 z = 45 \
\frac { 3 } { 2 } x - \frac { 1 } { 2 } y + 5 z = 30 \
- \frac { 5 } { 3 } x + 4 y + 3 z = \frac { 80 } { 3 }
\end{array}$
A) $\{ ( - 5 , - 5,5 ) \}$
B) $\{ ( 5,5,5 ) \}$
C) $\{ ( - 5,5 , - 5 ) \}$
D) $\{ ( 5 , - 5 , - 5 ) \}$

Quizplus · Accepted Answer

The Answer of 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.
-$\begin{array} { l } 
2 x + 4 y + 3 z = 45 \
\frac { 3 } { 2 } x - \frac { 1 } { 2 } y + 5 z = 30 \
- \frac { 5 } { 3 } x + 4 y + 3 z = \frac { 80 } { 3 }
\end{array}$
A) $\{ ( - 5 , - 5,5 ) \}$
B) $\{ ( 5,5,5 ) \}$
C) $\{ ( - 5,5 , - 5 ) \}$
D) $\{ ( 5 , - 5 , - 5 ) \}$

Solve the System A) {(−5,−5,5)}\{ ( - 5 , - 5,5 ) \}{(−5,−5,5)}

Solve the System A) $\{ ( - 5 , - 5,5 ) \}$