Question

solve for s in the following equation 11/s+3 +4=5

Answer 1

To solve the equation \( \frac{11}{s+3} + 4 = 5 \), we can follow these steps:

1. Subtract 4 from both sides:

\[
\frac{11}{s+3} = 5 - 4
\]

This simplifies to:

\[
\frac{11}{s+3} = 1
\]

2. Now, we can eliminate the fraction by multiplying both sides by \( s + 3 \):

\[
11 = 1 \cdot (s + 3)
\]

This simplifies to:

\[
11 = s + 3
\]

3. Next, isolate \( s \) by subtracting 3 from both sides:

\[
s = 11 - 3
\]

This gives us:

\[
s = 8
\]

So, the solution is \( s = 8 \).

You can check your work by plugging \( s = 8 \) back into the original equation:

\[
\frac{11}{8 + 3} + 4 = 5
\]
\[
\frac{11}{11} + 4 = 5
\]
\[
1 + 4 = 5
\]

Since both sides are equal, the solution \( s = 8 \) is correct.