The following system does not have a unique solution. Solve the system.
-$\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.$
A)x = - 8 , y & = 1 , z = - 1
B) infinitely many solutions of the form $x = - 10 - 2 z , y = 1 , z = z$
C) infinitely many solutions of the form $x = - 10 - 2 z , y = 1 - z , z = z$
D) inconsistent system, no solution

Question

The following system does not have a unique solution. Solve the system.
-$\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.$
A)x = - 8 , y & = 1 , z = - 1 
B) infinitely many solutions of the form $x = - 10 - 2 z , y = 1 , z = z$
C) infinitely many solutions of the form $x = - 10 - 2 z , y = 1 - z , z = z$
D) inconsistent system, no solution

Quizplus · Accepted Answer

The Answer is B

The Following System Does Not Have a Unique Solution {x+5y+2z=−5−3x+5y−6z=35\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \\ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.{x+5y+2z−3x+5y−6z​=−5=35​

The Following System Does Not Have a Unique Solution $\left\{ \begin{aligned} x + 5 y + 2 z & = - 5 \\ - 3 x + 5 y - 6 z & = 35 \end{aligned} \right.$