Systems of Linear Equations in Three Variables
1 Verify the Solution of a System of Linear Equations in Three Variables
-$$\begin{array} { l }
( - 1,5,1 ) \
x + y + z = 5 \
x - y + 5 z = - 1 \
2 x + y + z = 4
\end{array}$$
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
-$$\begin{array} { l } 
( - 1,5,1 ) \
x + y + z = 5 \
x - y + 5 z = - 1 \
2 x + y + z = 4
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

Substitute $(-1, 5, 1)$ into each equation:  1. $(-1) + 5 + 1 = 5$ is true.  2. $(-1) - 5 + 5(1) = -1$ is true.  3. $2(-1) + 5 + 1 = 4$ is true.  All equations are satisfied, so it is a solution.

Systems of Linear Equations in Three Variables 1 Verify the Solution

Systems of Linear Equations in Three Variables
1 Verify the Solution