Final answer:
The solution to the equation (s-9)/10 = (s-1)/2 is s = -1. After clearing the fractions and simplifying, s was isolated to find the solution.the solution to the equation is s = -1.
Step-by-step explanation:
To solve for s in the equation (s-9)/10 = (s-1)/2, we begin by finding a common denominator to eliminate the fractions. Multiplying both sides of the equation by the denominators 10 and 2, we get:
2(s - 9) = 10(s - 1)
Distributing the 2 and the 10, we have:
2s - 18 = 10s - 10
Now, we bring all terms involving s to one side and constants to the other:
2s - 10s = -10 + 18
Combining like terms, we see:
-8s = 8
To find the value of s, we divide both sides by the coefficient -8:
s = 8 / -8
So we get:
s = -1
Therefore, the solution to the equation is s = -1.