Solve the system.
-$$\left\{ \begin{array} { l }
7 x - 2 y = 5 \
28 x - 8 y = 15
\end{array} \right.$$
A) inconsistent (no solution)
B) 6, - 9
C) (2, 5)
D) consistent (many solutions)

Question

Solve the system.
-$$\left\{ \begin{array} { l } 
7 x - 2 y = 5 \
28 x - 8 y = 15
\end{array} \right.$$
A) inconsistent (no solution)
B) 6, - 9
C) (2, 5)
D) consistent (many solutions)

Quizplus · Accepted Answer

The system is inconsistent because when you simplify the second equation by dividing every term by 4, you get $7x - 2y = \frac{15}{4}$, which contradicts the first equation $7x - 2y = 5$. This means there's no solution that satisfies both equations simultaneously.

Solve the System {7x−2y=528x−8y=15\left\{ \begin{array} { l } 7 x - 2 y = 5 \\28 x - 8 y = 15\end{array} \right.{7x−2y=528x−8y=15​

Solve the System $\left\{ \begin{array} { l } 7 x - 2 y = 5 \\28 x - 8 y = 15\end{array} \right.$