Systems of Linear Equations in Three Variables
1 Verify the Solution of a System of Linear Equations in Three Variables
-$$\begin{array} { l }
( - 1 , - 3,5 ) \
x - y + z = 7 \
x + y + z = 1 \
x + y - z = - 9
\end{array}$$
A) solution
B) not a solution

Question

Systems of Linear Equations in Three Variables
1 Verify the Solution of a System of Linear Equations in Three Variables
-$$\begin{array} { l } 
( - 1 , - 3,5 ) \
x - y + z = 7 \
x + y + z = 1 \
x + y - z = - 9
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

To verify if $(-1, -3, 5)$ is a solution, substitute $x = -1$, $y = -3$, and $z = 5$ into each equation. For the first equation, $-1 - (-3) + 5 = 7$, which is true. For the second equation, $-1 + (-3) + 5 = 1$, which is also true. For the third equation, $-1 + (-3) - 5 = -9$, which is true as well. Since all three equations are satisfied, $(-1, -3, 5)$ is indeed a solution to the system of equations.

Systems of Linear Equations in Three Variables 1 Verify the Solution

Systems of Linear Equations in Three Variables
1 Verify the Solution