Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.
Answer:
For the system of equations to be unique, s can take all values except 2 and -2
Step-by-step explanation:
[tex]2sx_{1} + 4x_{2} = -3\\2x_{1} + sx_{2} = 4[/tex]
[tex]\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right][/tex]
For the system to have a unique solution, [tex]\begin{vmatrix} 2s & 4 \\ 2 & s \end{vmatrix} \neq 0[/tex]
[tex]2s^{2} -8 \neq 0\\2s^{2}\neq 8\\s^{2}\neq 4\\s \neq 2 or -2[/tex]
