To solve the equation \( 9 - c = 17d \) for one of the variables, let's isolate one variable in terms of the other.

### Solving for \(c\) in terms of \(d\):

1. **Subtract 9 from both sides** to isolate \(c\) on one side:

\[
-c = 17d - 9
\]

2. **Multiply both sides by -1** to solve for \(c\):

\[
c = -17d + 9
\]

So, the solution for \(c\) in terms of \(d\) is:

\[
c = 9 - 17d
\]

### Solving for \(d\) in terms of \(c\):

1. **Subtract 9 from both sides** to isolate the term involving \(d\):

\[
-c = 17d - 9
\]

2. **Add 9 to both sides** to simplify:

\[
-c + 9 = 17d
\]

3. **Divide both sides by 17** to solve for \(d\):

\[
d = \frac{9 - c}{17}
\]

So, the solution for \(d\) in terms of \(c\) is:

\[
d = \frac{9 - c}{17}
\]

Would you like more details on any of the steps? Here are some related questions you might find useful:

1. How would the equation change if you were to solve for \(d\) first?
2. Can you graph the equation \(c = 9 - 17d\) in the \(c\)-\(d\) plane?
3. What happens if \(c = 0\)? How does it affect the solution for \(d\)?
4. How do you interpret the equation in a real-world context?
5. Can you solve for \(c\) if \(d = 2\)?

**Tip:** When you have an equation with two variables, you can always express one variable in terms of the other by isolating it on one side of the equation.

Learn how to solve the equation 9 - c = 17d for variables c and d with a detailed step-by-step solution. This problem involves isolating variables in linear equations and is suitable for students in Grades 7-9.

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