Solve for s in terms of r

MathematicsAlgebraic ExpressionsMediumSTEM

Published: July 10, 2026

Question

If $r > 0$, $s \neq \frac{1}{2}$ and $r = \frac{3s+1}{1-2s}$, then $s =$

A) $\frac{3r}{12+6r}$

B) $-\frac{2r}{3}$

C) $\frac{r-1}{3+2r}$

D) $\frac{2}{3}(1-r)$

E) $-\frac{1+r}{3}$

Animated Video Solution

The first half plays free, the full solution is in the app.

Step 1

Hi Destiny, let's solve this equation together to express s in terms of r.

Step 2

We are given the equation r equals the fraction three s plus one over one minus two s.

r = \frac{3s+1}{1-2s}

Step 3

To solve for s, first multiply both sides by the denominator, one minus two s.

Step 4

Now, distribute r on the left side to get r minus two r s equals three s plus one.

4 more steps are locked. Watch the full animated, narrated solution for free.

Snap a photo, solve any question like this.

Free to download · First solutions are on us

100K+Questions solved daily

50K+Students learning

4.8 ★App Store rating