Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l }
8 x - 10 y = 1 \
- 16 x + 20 y = 1
\end{array}$$
A) $\varnothing$
B) $\left\{ \left( x , \frac { 3 } { 40 } x \right) \right\}$
C) $\left\{ \left( x , \frac { 1 } { 5 } + \frac { 4 } { 5 } x \right) \right\}$
D) $\left\{ \left( - \frac { 3 } { 40 } , \frac { 4 } { 25 } \right) \right\}$

Question

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
-$$\begin{array} { l } 
8 x - 10 y = 1 \
- 16 x + 20 y = 1
\end{array}$$
A) $\varnothing$
B) $\left\{ \left( x , \frac { 3 } { 40 } x \right) \right\}$
C) $\left\{ \left( x , \frac { 1 } { 5 } + \frac { 4 } { 5 } x \right) \right\}$
D) $\left\{ \left( - \frac { 3 } { 40 } , \frac { 4 } { 25 } \right) \right\}$

Quizplus · Accepted Answer

The second equation is a multiple of the first, but with inconsistent results, indicating no solution.

Solve the System 8x−10y=1−16x+20y=1\begin{array} { l } 8 x - 10 y = 1 \\- 16 x + 20 y = 1\end{array}8x−10y=1−16x+20y=1​

Solve the System $\begin{array} { l } 8 x - 10 y = 1 \\- 16 x + 20 y = 1\end{array}$