Solve the system $$\left\{ \begin{array} { l }
7 x + 4 y = - 24 \
8 x + 7 y = - 25
\end{array} \right.$$ using the inverse method.
A) $( - 24,0 )$
B) $( - 4,1 )$
C) $( - 6,3 )$
D) The system is inconsistent
E) The equations are dependent

Question

Solve the system $$\left\{ \begin{array} { l } 
7 x + 4 y = - 24 \
8 x + 7 y = - 25
\end{array} \right.$$ using the inverse method.
A) $( - 24,0 )$
B) $( - 4,1 )$
C) $( - 6,3 )$
D) The system is inconsistent
E) The equations are dependent

Quizplus · Accepted Answer

The determinant of the coefficient matrix is not zero, so the system is consistent and has a unique solution. The solution is $ (-4,1) $.

Solve the System {7x+4y=−248x+7y=−25\left\{ \begin{array} { l } 7 x + 4 y = - 24 \\8 x + 7 y = - 25\end{array} \right.{7x+4y=−248x+7y=−25​

Solve the System $\left\{ \begin{array} { l } 7 x + 4 y = - 24 \\8 x + 7 y = - 25\end{array} \right.$