Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l }
2 x + 8 y = 7 \
4 x + 16 y = 5
\end{array}$$
A) $\left\{ \left( x , \frac { 1 } { 2 } - \frac { 1 } { 4 } x \right) \right\}$
B) $\left\{ \left( x , \frac { 7 } { 8 } - \frac { 1 } { 4 } x \right) \right\}$
C) $\{ ( 0,0 ) \}$
D) $\varnothing$

Question

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l } 
2 x + 8 y = 7 \
4 x + 16 y = 5
\end{array}$$
A) $\left\{ \left( x , \frac { 1 } { 2 } - \frac { 1 } { 4 } x \right) \right\}$
B) $\left\{ \left( x , \frac { 7 } { 8 } - \frac { 1 } { 4 } x \right) \right\}$
C) $\{ ( 0,0 ) \}$
D) $\varnothing$

Quizplus · Accepted Answer

The system is inconsistent because the second equation is a non-proportional multiple of the first, leading to parallel lines with no points of intersection.

Solve the System 2x+8y=74x+16y=5\begin{array} { l } 2 x + 8 y = 7 \\4 x + 16 y = 5\end{array}2x+8y=74x+16y=5​

Solve the System $\begin{array} { l } 2 x + 8 y = 7 \\4 x + 16 y = 5\end{array}$