Please solve for b, step by step: “b-5/c=k”

To solve for \( b \) step by step in the equation:

\[
\frac{b - 5}{c} = k
\]

### Step 1: Multiply both sides by \( c \)

To eliminate the denominator, multiply both sides of the equation by \( c \):

\[
(b - 5) = k \cdot c
\]

### Step 2: Isolate \( b \)

Now, add 5 to both sides to isolate \( b \):

\[
b = k \cdot c + 5
\]

### Final Solution:

\[
b = k \cdot c + 5
\]

Would you like further clarification or additional details?

### Related questions:
1. What happens if \( c = 0 \) in this equation?
2. How do you solve for \( c \) instead of \( b \)?
3. Can you substitute values for \( k \) and \( c \) to find \( b \)?
4. What would the graph of \( b = k \cdot c + 5 \) look like in terms of \( b \) vs. \( c \)?
5. How would you solve the equation if it were \( \frac{b + 5}{c} = k \)?

### Tip:
Always check for restrictions like \( c \neq 0 \) when dealing with fractions to avoid division by zero errors.

Learn how to solve the equation (b - 5) / c = k step by step. This tutorial walks through key algebraic concepts such as isolating variables and solving linear equations. Suitable for students in Grades 7-9.

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