Determine whether the ordered pair or ordered triple satisfies the system of linear equations.
-$$\begin{array} { l }
y = - x - 1 \
x - y = - 9 \
( - 5,4 )
\end{array}$$
A)solution
B)not a solution

Question

Determine whether the ordered pair or ordered triple satisfies the system of linear equations.
-$$\begin{array} { l } 
y = - x - 1 \
x - y = - 9 \
( - 5,4 )
\end{array}$$
A)solution
B)not a solution

Quizplus · Accepted Answer

The ordered pair (-5, 4) satisfies both equations. For the first equation, substituting x = -5 gives y = -(-5) - 1 = 5 - 1 = 4, which matches the given y-value. For the second equation, substituting x = -5 and y = 4 gives -5 - 4 = -9, which matches the equation. Therefore, the ordered pair is a solution to the system.

Determine Whether the Ordered Pair or Ordered Triple Satisfies the System