Solve the system.
-$$\begin{array} { l }
\frac { 1 } { x } + \frac { 1 } { y } - \frac { 1 } { z } = - \frac { 3 } { 28 } \
\frac { 3 } { x } - \frac { 1 } { y } + \frac { 3 } { z } = \frac { 23 } { 28 } \
\frac { 1 } { x } - \frac { 7 } { y } + \frac { 6 } { z } = \frac { 67 } { 28 }
\end{array}$$
A) $\{ ( 4 , - 2 , - 7 ) \}$
B) $\{ ( 4 , - 2,7 ) \}$
C) $\left\{ \left( \frac { 1 } { 4 } , - \frac { 1 } { 2 } , \frac { 1 } { 7 } \right) \right\}$
D) $\left\{ \left( \frac { 1 } { 4 } , - \frac { 1 } { 2 } , - \frac { 1 } { 7 } \right) \right\}$

Question

Solve the system.
-$$\begin{array} { l } 
\frac { 1 } { x } + \frac { 1 } { y } - \frac { 1 } { z } = - \frac { 3 } { 28 } \
\frac { 3 } { x } - \frac { 1 } { y } + \frac { 3 } { z } = \frac { 23 } { 28 } \
\frac { 1 } { x } - \frac { 7 } { y } + \frac { 6 } { z } = \frac { 67 } { 28 }
\end{array}$$
A) $\{ ( 4 , - 2 , - 7 ) \}$
B) $\{ ( 4 , - 2,7 ) \}$
C) $\left\{ \left( \frac { 1 } { 4 } , - \frac { 1 } { 2 } , \frac { 1 } { 7 } \right) \right\}$
D) $\left\{ \left( \frac { 1 } { 4 } , - \frac { 1 } { 2 } , - \frac { 1 } { 7 } \right) \right\}$

Quizplus · Accepted Answer

Explanation:Multiply the first equation by 28, the second equation by 28, and the third equation by 28.Then solve the system of equations.

Solve the System A) {(4,−2,−7)}\{ ( 4 , - 2 , - 7 ) \}{(4,−2,−7)}

Solve the System A) $\{ ( 4 , - 2 , - 7 ) \}$