Solve the system of equations.
-$$\begin{array} { c }
x - y + 5 z = 13 \
5 x + y + z = - 19
\end{array}$$
A) $\{ ( - 5,2,4 ) \}$
B) $\{ ( 2 , - 5,4 ) \}$
C) $\{ ( 4 , - 5,2 ) \}$
D) $\{ ( 4,2 , - 5 ) \}$

Question

Solve the system of equations.
-$$\begin{array} { c } 
x - y + 5 z = 13 \
5 x + y + z = - 19
\end{array}$$
A) $\{ ( - 5,2,4 ) \}$
B) $\{ ( 2 , - 5,4 ) \}$
C) $\{ ( 4 , - 5,2 ) \}$
D) $\{ ( 4,2 , - 5 ) \}$

Quizplus · Accepted Answer

To solve the system of equations, we can use the method of elimination or substitution. However, since we are given the options, we can directly substitute the values from each option into the equations to check for correctness. Option A: $(x, y, z) = (-5, 2, 4)$Substituting into the first equation: $(-5) - (2) + 5(4) = -5 - 2 + 20 = 13$, which is true.Substituting into the second equation: $5(-5) + (2) + (4) = -25 + 2 + 4 = -19$, which is also true.Therefore, option A is the correct solution to the system of equations.

Solve the System of Equations x−y+5z=135x+y+z=−19\begin{array} { c } x - y + 5 z = 13 \\5 x + y + z = - 19\end{array}x−y+5z=135x+y+z=−19​

Solve the System of Equations $\begin{array} { c } x - y + 5 z = 13 \\5 x + y + z = - 19\end{array}$