Solve the system.
-$$\left\{ \begin{array} { l }
4 x - 7 y = 8 \
4 x - 7 y = - 5
\end{array} \right.$$
A) $\left( \frac { 8 } { 7 } , - \frac { 5 } { 4 } \right)$
B) inconsistent (no solution)
C) $( 8 , - 5 )$
D) consistent (many solutions)

Question

Solve the system.
-$$\left\{ \begin{array} { l } 
4 x - 7 y = 8 \
4 x - 7 y = - 5
\end{array} \right.$$
A) $\left( \frac { 8 } { 7 } , - \frac { 5 } { 4 } \right)$
B) inconsistent (no solution)
C) $( 8 , - 5 )$
D) consistent (many solutions)

Quizplus · Accepted Answer

The two equations are parallel (same coefficients for x and y but different constants), meaning they never intersect, resulting in no solution.

Solve the System {4x−7y=84x−7y=−5\left\{ \begin{array} { l } 4 x - 7 y = 8 \\4 x - 7 y = - 5\end{array} \right.{4x−7y=84x−7y=−5​

Solve the System $\left\{ \begin{array} { l } 4 x - 7 y = 8 \\4 x - 7 y = - 5\end{array} \right.$