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.
-$$\begin{array} { l }
- 4 x - 6 y - 5 z = 9 \
4 ( x + y ) + 3 z = x - 5 y + 9 \
6 ( x + y ) - 7 z = 2 x + 3 y + 18
\end{array}$$
A) $\{ ( 9,9,18 \} )$
B) $\{ ( - 3,3 , - 3 ) \}$
C) Infinitely many solutions; dependent
D) No solution; inconsistent

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.
-$$\begin{array} { l } 
- 4 x - 6 y - 5 z = 9 \
4 ( x + y ) + 3 z = x - 5 y + 9 \
6 ( x + y ) - 7 z = 2 x + 3 y + 18
\end{array}$$
A) $\{ ( 9,9,18 \} )$
B) $\{ ( - 3,3 , - 3 ) \}$
C) Infinitely many solutions; dependent
D) No solution; inconsistent

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.
-$$\begin{array} { l } 
- 4 x - 6 y - 5 z = 9 \
4 ( x + y ) + 3 z = x - 5 y + 9 \
6 ( x + y ) - 7 z = 2 x + 3 y + 18
\end{array}$$
A) $\{ ( 9,9,18 \} )$
B) $\{ ( - 3,3 , - 3 ) \}$
C) Infinitely many solutions; dependent
D) No solution; inconsistent

Solve the System −4x−6y−5z=94(x+y)+3z=x−5y+96(x+y)−7z=2x+3y+18\begin{array} { l } - 4 x - 6 y - 5 z = 9 \\4 ( x + y ) + 3 z = x - 5 y + 9 \\6 ( x + y ) - 7 z = 2 x + 3 y + 18\end{array}−4x−6y−5z=94(x+y)+3z=x−5y+96(x+y)−7z=2x+3y+18​

Solve the System $\begin{array} { l } - 4 x - 6 y - 5 z = 9 \\4 ( x + y ) + 3 z = x - 5 y + 9 \\6 ( x + y ) - 7 z = 2 x + 3 y + 18\end{array}$