Determine whether the ordered triple is a solution of the system of equations.? $$\left\{ \begin{array} { l }
3 x + 4 y - z = 16 \
5 x - y + 2 z = 26 \
2 x - 3 y + 7 z = 30
\end{array} \right.$$ ?? $$( 4,2,4 )$$ ?
A)No
B)Yes

Question

Determine whether the ordered triple is a solution of the system of equations.? $$\left\{ \begin{array} { l } 
3 x + 4 y - z = 16 \
5 x - y + 2 z = 26 \
2 x - 3 y + 7 z = 30
\end{array} \right.$$ ?? $$( 4,2,4 )$$ ?
A)No
B)Yes

Quizplus · Accepted Answer

Substituting $ (4, 2, 4) $ into each equation:  1. $ 3(4) + 4(2) - 4 = 12 + 8 - 4 = 16 $ (True)  2. $ 5(4) - 2 + 2(4) = 20 - 2 + 8 = 26 $ (True)  3. $ 2(4) - 3(2) + 7(4) = 8 - 6 + 28 = 30 $ (True)  All equations are satisfied, so the ordered triple is a solution.

Determine Whether the Ordered Triple Is a Solution of the System