Solve.
-$$\begin{array} { l }
5 x + 5 y + z = 31 \
5 x - 5 y - z = - 11 \
2 x + y + 3 z = - 3 \
( 2,5 , - 4 )
\end{array}$$
A) Yes
B) $\mathrm { No }$

Question

Solve.
-$$\begin{array} { l } 
5 x + 5 y + z = 31 \
5 x - 5 y - z = - 11 \
2 x + y + 3 z = - 3 \
( 2,5 , - 4 )
\end{array}$$
A) Yes
B) $\mathrm { No }$

Quizplus · Accepted Answer

To verify if the given solution $(2, 5, -4)$ is correct, we substitute $x = 2$, $y = 5$, and $z = -4$ into each of the equations:1. $5(2) + 5(5) + (-4) = 10 + 25 - 4 = 31$2. $5(2) - 5(5) - (-4) = 10 - 25 + 4 = -11$3. $2(2) + 5 + 3(-4) = 4 + 5 - 12 = -3$Since the solution satisfies all three equations, the answer is Yes.

Solve - 5x+5y+z=315x−5y−z=−112x+y+3z=−3(2,5,−4)\begin{array} { l } 5 x + 5 y + z = 31 \\5 x - 5 y - z = - 11 \\2 x + y + 3 z = - 3 \\( 2,5 , - 4 )\end{array}5x+5y+z=315x−5y−z=−112x+y+3z=−3(2,5,−4)​

Solve
- $\begin{array} { l } 5 x + 5 y + z = 31 \\5 x - 5 y - z = - 11 \\2 x + y + 3 z = - 3 \\( 2,5 , - 4 )\end{array}$