Determine whether the ordered pair or ordered triple satisfies the system of linear equations.
-$$\begin{array} { l }
4 x + 4 y + z = 15 \
4 x - 5 y - z = - 36 \
4 x + y + 3 z = 6 \
( - 2,5,3 )
\end{array}$$
A)solution
B)not a solution

Question

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.
-$$\begin{array} { l } 
4 x + 4 y + z = 15 \
4 x - 5 y - z = - 36 \
4 x + y + 3 z = 6 \
( - 2,5,3 )
\end{array}$$
A)solution
B)not a solution

Quizplus · Accepted Answer

Substituting $(-2, 5, 3)$ into each equation:  1. $4(-2) + 4(5) + 3 = 15$ simplifies to $-8 + 20 + 3 = 15$, which is true.  2. $4(-2) - 5(5) - 3 = -36$ simplifies to $-8 - 25 - 3 = -36$, which is true.  3. $4(-2) + 5 + 3(3) = 6$ simplifies to $-8 + 5 + 9 = 6$, which is true.  Thus, $(-2, 5, 3)$ satisfies all equations.

Determine Whether the Ordered Pair or Ordered Triple Satisfies the System