Determine the Values of the Parameter S for Which the System

Multiple Choice

Determine the values of the parameter s for which the system has a unique solution, and describe the solution.
- $$\begin{array} { l } s _ { 1 } - 5 s _ { 2 } = 3 \\2 x _ { 1 } - 10 s _ { 2 } = 5\end{array}$$

A) $s \neq 0,1 ; x _ { 1 } = \frac { 1 } { 2 ( s - 1 ) }$ and $x _ { 2 } = \frac { 6 - 5 s } { 10 s ( s - 1 ) }$

B) $s \neq 1 ; x _ { 1 } = \frac { 11 } { 2 ( s + 1 ) }$ and $x _ { 2 } = \frac { 6 + 5 s } { 10 s ( s + 1 ) }$

C) $s \neq 1 ; x _ { 1 } = \frac { 1 } { 10 ( s - 1 ) ( s + 1 ) }$ and $x _ { 2 } = \frac { 6 - 5 s } { 10 ( s - 1 ) ( s + 1 ) }$

D) $s \neq \pm 1 ; x _ { 1 } = \frac { 1 } { 2 ( s + 1 ) }$ and $x _ { 2 } = \frac { 6 - 5 s } { 10 s ( s + 1 ) }$