Solve the system of equations.
-$$\begin{array} { l }
x - y + 4 z = 3 \
4 x + z = 2 \
x + 4 y + z = 22
\end{array}$$
A) $\{ ( 0,5,2 ) \}$
B) $\{ ( 5,0,2 ) \}$
C) $\{ ( 2,5,0 ) \}$
D) $\{ ( 2,0,5 ) \}$

Question

Solve the system of equations.
-$$\begin{array} { l } 
x - y + 4 z = 3 \
4 x + z = 2 \
x + 4 y + z = 22
\end{array}$$
A) $\{ ( 0,5,2 ) \}$
B) $\{ ( 5,0,2 ) \}$
C) $\{ ( 2,5,0 ) \}$
D) $\{ ( 2,0,5 ) \}$

Quizplus · Accepted Answer

Explanation:Solve the system of equations using substitution or elimination.Substitute the second equation into the first and third equations to get:$x - y + 4(2) = 3$$x - y + 8 = 3$$x - y = -5$$x + 4y + (2) = 22$$x + 4y + 2 = 22$$x + 4y = 20$Solve the system of equations:$x - y = -5$$x + 4y = 20$$x = 5$$y = 10$Substitute the values of $x$ and $y$ into the third equation to get:$5 + 4(10) + z = 22$$5 + 40 + z = 22$$z = -17$The solution to the system of equations is $(5, 10, -17)$.

Solve the System of Equations x−y+4z=34x+z=2x+4y+z=22\begin{array} { l } x - y + 4 z = 3 \\4 x + z = 2 \\x + 4 y + z = 22\end{array}x−y+4z=34x+z=2x+4y+z=22​

Solve the System of Equations $\begin{array} { l } x - y + 4 z = 3 \\4 x + z = 2 \\x + 4 y + z = 22\end{array}$