Solve the system, if possible. $\left\{ \begin{array} { l l }
x + y + z & = - 20 \
2 x + y + z & = - 30 \
5 x + y - z & = - 46
\end{array} \right.$
A)x = -10, y = -3, z = -7
B)x = 10, y = 3, z = 7
C)x = -2, y = -10, z = 7
D)x = -13, y = -6, z = 7
E)no solution; inconsistent system

Question

Solve the system, if possible.  $\left\{ \begin{array} { l l } 
x + y + z & = - 20 \
2 x + y + z & = - 30 \
5 x + y - z & = - 46
\end{array} \right.$  
A)x = -10, y = -3, z = -7
B)x = 10, y = 3, z = 7
C)x = -2, y = -10, z = 7
D)x = -13, y = -6, z = 7
E)no solution; inconsistent system

Quizplus · Accepted Answer

To solve the system, subtract the first equation from the second to eliminate $y$ and $z$, giving $x = -10$. Then, substitute $x = -10$ into the first equation to find $y$ and $z$. Substituting $x = -10$ into the first equation and solving for $y$ and $z$ confirms that $x = -10$, $y = -3$, and $z = -7$ is the solution.

Solve the System, If Possible {x+y+z=−202x+y+z=−305x+y−z=−46\left\{ \begin{array} { l l } x + y + z & = - 20 \\2 x + y + z & = - 30 \\5 x + y - z & = - 46\end{array} \right.⎩⎨⎧​x+y+z2x+y+z5x+y−z​=−20=−30=−46​

Solve the System, If Possible $\left\{ \begin{array} { l l } x + y + z & = - 20 \\2 x + y + z & = - 30 \\5 x + y - z & = - 46\end{array} \right.$