Determine the values of the parameter s for which the system has a unique solution, and describe the solution. x 1 - 5 sx 2

Step-by-step explanation:

Given

Required

Determine the value of s

Express the equations as a matrix

Calculate the determinant

Factorize

Apply difference of two squares

For the system to have a unique solution;

So, we have:

Divide both sides by 15

Solve for s

The result can be combined as:

Hence, the system has a unique solution when

Next, we solve for s using Cramer's rule.

We have:

Calculate the determinant

So:

Factorize

Divide by 5

Similarly:

Calculate the determinant

So:

Factorize

Divide by 3

x/3-10=8

x/3=18

x=48

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.