Solve the system below by elimination if possible. Then state whether the system below is consistent or inconsistent. $$\left\{ \begin{array} { r }
4 b + m = 0 \
- 8 b - 2 m = 3
\end{array} \right.$$
A)The system is consistent and its solution is $( - 5,3 )$
B)The system is consistent and its solution is $( 5,3 )$
C)The system is consistent and its solution is $( - 3,5 )$
D)The system is consistent and its solution is $( 3,5 )$
E)The system is inconsistent and no solution exists.

Question

Solve the system below by elimination if possible. Then state whether the system below is consistent or inconsistent. $$\left\{ \begin{array} { r } 
4 b + m = 0 \
- 8 b - 2 m = 3
\end{array} \right.$$
A)The system is consistent and its solution is $( - 5,3 )$
B)The system is consistent and its solution is $( 5,3 )$
C)The system is consistent and its solution is $( - 3,5 )$
D)The system is consistent and its solution is $( 3,5 )$
E)The system is inconsistent and no solution exists.

Quizplus · Accepted Answer

The system is inconsistent because when you attempt to eliminate one variable by multiplying the first equation by 2 to match the coefficients of the second equation, you get equations that contradict each other, indicating no solution exists.

Solve the System Below by Elimination If Possible {4b+m=0−8b−2m=3\left\{ \begin{array} { r } 4 b + m = 0 \\- 8 b - 2 m = 3\end{array} \right.{4b+m=0−8b−2m=3​

Solve the System Below by Elimination If Possible $\left\{ \begin{array} { r } 4 b + m = 0 \\- 8 b - 2 m = 3\end{array} \right.$