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Solve the System 2x+2y3z=35x2y+5z=148x2y+7z=31\begin{array} { l } 2 x + 2 y - 3 z = 3 \\- 5 x - 2 y + 5 z = 14 \\- 8 x - 2 y + 7 z = 31\end{array}

Question 79

Multiple Choice

Solve the system. If there is more than one solution, write the general solution.
- 2x+2y3z=35x2y+5z=148x2y+7z=31\begin{array} { l } 2 x + 2 y - 3 z = 3 \\- 5 x - 2 y + 5 z = 14 \\- 8 x - 2 y + 7 z = 31\end{array}


A) No solution; inconsistent
B) {(3,3,5) }\{ ( - 3 , - 3 , - 5 ) \}
C) {[x,54x+574,32x+172x\left\{ \left[ x , \frac { 5 } { 4 } x + \frac { 57 } { 4 } , \frac { 3 } { 2 } x + \frac { 17 } { 2 } \mid x \right. \right. is any real number }}\left. \} \right\}
D) {(3,4,4) }\{ ( - 3 , - 4 , - 4 ) \}

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