The equation you provided is a linear equation in two variables, \( x \) and \( y \):

\[
3x + 5y = 16
\]

There are different ways to handle or solve this equation depending on what you're looking for. Here are a few possibilities:

1. **Express \( y \) in terms of \( x \):**
   
   Solving for \( y \) gives:
   \[
   y = \frac{16 - 3x}{5}
   \]

2. **Express \( x \) in terms of \( y \):**
   
   Solving for \( x \) gives:
   \[
   x = \frac{16 - 5y}{3}
   \]

3. **Graph the equation:**
   
   This can be graphed as a straight line on a coordinate plane. The intercepts are:

   - **x-intercept** (where \( y = 0 \)): \( x = \frac{16}{3} \)
   - **y-intercept** (where \( x = 0 \)): \( y = \frac{16}{5} \)

Would you like to solve for specific values, plot the graph, or continue with another method?

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Here are 5 related questions for further exploration:

1. What are the intercepts of this equation?
2. How would you solve this equation if given another equation (system of equations)?
3. Can you solve for \( x \) and \( y \) with additional constraints?
4. What is the slope of the line represented by this equation?
5. How would this equation change if one of the constants is altered?

**Tip:** In linear equations, expressing one variable in terms of the other is often useful when working with systems of equations!

Explore the linear equation 3x + 5y = 16 with step-by-step methods to solve for x and y. Learn how to express one variable in terms of the other, find intercepts, and graph the equation. Suitable for students in Grades 8-10.

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