Solve.
-$$\begin{array} { l }
x - y + z = - 8 \
x + y + z = 0 \
x + y - z = 2 \
( - 1 , - 3,4 )
\end{array}$$
A) Yes
B) No

Question

Solve.
-$$\begin{array} { l } 
x - y + z = - 8 \
x + y + z = 0 \
x + y - z = 2 \
( - 1 , - 3,4 )
\end{array}$$
A) Yes
B) No

Quizplus · Accepted Answer

To verify if the given solution $(-1, -3, 4)$ is correct, we substitute $x = -1$, $y = -3$, and $z = 4$ into each of the equations:1. For $x - y + z = -8$, substituting the values gives $(-1) - (-3) + 4 = 2 + 4 = 6$, which does not satisfy the equation.2. For $x + y + z = 0$, substituting the values gives $(-1) + (-3) + 4 = 0$, which satisfies the equation.3. For $x + y - z = 2$, substituting the values gives $(-1) + (-3) - 4 = -8$, which does not satisfy the equation.Given that the solution does not satisfy all the equations, there seems to be a mistake in my initial assessment. Let's correct that:Upon re-evaluation, the correct process to verify the solution involves substituting $x = -1$, $y = -3$, and $z = 4$ into each equation:1. $x - y + z = -1 - (-3) + 4 = 2 + 4 = 6$, which does not match the first equation.2. $x + y + z = -1 + (-3) + 4 = 0$, which matches the second equation.3. $x + y - z = -1 + (-3) - 4 = -8$, which does not match the third equation directly but my calculation may have been incorrect in the explanation.Given the correct approach to verify the solution against each equation, it's clear that my explanation contained errors in calculation and conclusion. The correct verification should directly assess if the provided solution satisfies all given equations accurately. Let's correct the verification:1. $x - y + z = -1 - (-3) + 4 = -1 + 3 + 4 = 6$, which does not match the first equation's expected result of $-8$.2. $x + y + z = -1 + (-3) + 4 = 0$, which matches the second equation.3. $x + y - z = -1 + (-3) - 4 = -8$, which matches the third equation.Given the mistake in my initial explanation and the need for accurate calculation, the correct step is to re-evaluate the solution's validity against each equation properly. However, my initial claim of the solution being correct (A) was mistakenly affirmed without proper verification. The correct action is to reassess the solution's validity with accurate calculations for each equation.

Solve - x−y+z=−8x+y+z=0x+y−z=2(−1,−3,4)\begin{array} { l } x - y + z = - 8 \\x + y + z = 0 \\x + y - z = 2 \\( - 1 , - 3,4 )\end{array}x−y+z=−8x+y+z=0x+y−z=2(−1,−3,4)​

Solve
- $\begin{array} { l } x - y + z = - 8 \\x + y + z = 0 \\x + y - z = 2 \\( - 1 , - 3,4 )\end{array}$