Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
-$$\begin{array} { l }
4 x - 3 y = 8 \
- 8 x + 6 y = - 32
\end{array}$$
A) $\left\{ \left( \frac { 1 } { 6 } , - \frac { 1 } { 8 } \right) \right\}$
B) $\{ ( 2,4 ) \}$
C) $\{ ( x , y ) \mid 4 x - 3 y = 8 \}$
D) $\varnothing$

Question

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
-$$\begin{array} { l } 
4 x - 3 y = 8 \
- 8 x + 6 y = - 32
\end{array}$$
A) $\left\{ \left( \frac { 1 } { 6 } , - \frac { 1 } { 8 } \right) \right\}$
B) $\{ ( 2,4 ) \}$
C) $\{ ( x , y ) \mid 4 x - 3 y = 8 \}$
D) $\varnothing$

Quizplus · Accepted Answer

The two equations are multiples of each other, indicating they are parallel lines with no intersection, hence no solution.

Solve the System by the Method of Your Choice 4x−3y=8−8x+6y=−32\begin{array} { l } 4 x - 3 y = 8 \\- 8 x + 6 y = - 32\end{array}4x−3y=8−8x+6y=−32​

Solve the System by the Method of Your Choice $\begin{array} { l } 4 x - 3 y = 8 \\- 8 x + 6 y = - 32\end{array}$