Determine whether the given ordered pair is a solution of the system.
-$$\begin{array} { l }
( - 5 , - 6 ) \
2 x + y = - 16 \
4 x + 2 y = - 32
\end{array}$$
A) solution
B) not a solution

Question

Determine whether the given ordered pair is a solution of the system.
-$$\begin{array} { l } 
( - 5 , - 6 ) \
2 x + y = - 16 \
4 x + 2 y = - 32
\end{array}$$
A) solution
B) not a solution

Quizplus · Accepted Answer

The ordered pair (-5, -6) satisfies both equations in the system. Substituting x = -5 and y = -6 into each equation: For the first equation, 2(-5) + (-6) = -10 - 6 = -16, which matches the right side of the equation. For the second equation, 4(-5) + 2(-6) = -20 - 12 = -32, which also matches the right side of the equation. Therefore, (-5, -6) is a solution to the system.

Determine Whether the Given Ordered Pair Is a Solution of the System