Question

solve for s.
\frac{3}{5}(s + 1) = \frac{1}{2}
write your answer as a fraction or as a whole or mixed number. do not use decimals.
s =
submit

Explanation:

Step1: Multiply both sides by 5/3

To isolate the term with \( s \), we multiply both sides of the equation \(\frac{3}{5}(s + 1)=\frac{1}{2}\) by the reciprocal of \(\frac{3}{5}\), which is \(\frac{5}{3}\). So we have:
\(\frac{5}{3}\times\frac{3}{5}(s + 1)=\frac{5}{3}\times\frac{1}{2}\)
Simplifying the left - hand side, \(\frac{5}{3}\times\frac{3}{5}=1\), so the equation becomes \(s + 1=\frac{5}{6}\)

Step2: Subtract 1 from both sides

To solve for \( s \), we subtract 1 from both sides of the equation \(s + 1=\frac{5}{6}\). We know that \(1=\frac{6}{6}\), so:
\(s=\frac{5}{6}-\frac{6}{6}\)
\(s =-\frac{1}{6}\)

Answer:

\(-\frac{1}{6}\)