Solve the system of linear equations. $$\left\{ \begin{array} { l l }
- x + 2 y - 5 z & = - 24 \
2 x + 5 z & = 25 \
4 x + 4 y + 3 z & = 21
\end{array} \right.$$
A) $( - 5,5,2 )$
B) $( - 2,3,5 )$
C) $( 5,2 , - 5 )$
D) $( 5 , - 2,3 )$
E) $( 5 , - 2,0 )$

Question

Solve the system of linear equations. $$\left\{ \begin{array} { l l } 
- x + 2 y - 5 z & = - 24 \
2 x + 5 z & = 25 \
4 x + 4 y + 3 z & = 21
\end{array} \right.$$
A)  $( - 5,5,2 )$
B)  $( - 2,3,5 )$
C)  $( 5,2 , - 5 )$
D)  $( 5 , - 2,3 )$
E)  $( 5 , - 2,0 )$

Quizplus · Accepted Answer

To solve the system of equations, we can use either substitution or elimination method. By substituting the values from the options into the equations, we find that option D $(5, -2, 3)$ satisfies all three equations.

Solve the System of Linear Equations {−x+2y−5z=−242x+5z=254x+4y+3z=21\left\{ \begin{array} { l l } - x + 2 y - 5 z & = - 24 \\2 x + 5 z & = 25 \\4 x + 4 y + 3 z & = 21\end{array} \right.⎩⎨⎧​−x+2y−5z2x+5z4x+4y+3z​=−24=25=21​

Solve the System of Linear Equations $\left\{ \begin{array} { l l } - x + 2 y - 5 z & = - 24 \\2 x + 5 z & = 25 \\4 x + 4 y + 3 z & = 21\end{array} \right.$