Solve the system.
-$$\left\{ \begin{array} { l }
x - 4 y = - 10 \
2 x - 8 y = - 17
\end{array} \right.$$
A) dependent (many solutions)
B) (2, 4)
C) (2, 3)
D) inconsistent (no solution)

Question

Solve the system.
-$$\left\{ \begin{array} { l } 
x - 4 y = - 10 \
2 x - 8 y = - 17
\end{array} \right.$$
A) dependent (many solutions) 
B) (2, 4) 
C) (2, 3) 
D) inconsistent (no solution)

Quizplus · Accepted Answer

The second equation is just the first equation multiplied by 2, but the constants do not align (-10 multiplied by 2 should be -20, not -17), indicating the lines are parallel and never intersect, hence the system is inconsistent.

Solve the System {x−4y=−102x−8y=−17\left\{ \begin{array} { l } x - 4 y = - 10 \\2 x - 8 y = - 17\end{array} \right.{x−4y=−102x−8y=−17​

Solve the System $\left\{ \begin{array} { l } x - 4 y = - 10 \\2 x - 8 y = - 17\end{array} \right.$