To solve the equation \( \frac{1}{4}x - 3y = 4 \), we can express it in terms of one variable or solve it for a particular variable.

### Solving for \(x\):
1. Start by isolating \(x\).
   \[
   \frac{1}{4}x - 3y = 4
   \]
2. Add \(3y\) to both sides:
   \[
   \frac{1}{4}x = 3y + 4
   \]
3. Multiply both sides by 4 to get rid of the fraction:
   \[
   x = 4(3y + 4)
   \]
   \[
   x = 12y + 16
   \]

Thus, the equation solved for \(x\) is:
\[
x = 12y + 16
\]

Would you like more details or clarification? Here are some related questions:

1. How would you solve for \(y\) in this equation?
2. Can you substitute a value for \(y\) and find \(x\)?
3. What happens if we graph the equation?
4. How can this equation be converted into slope-intercept form?
5. What would happen if the fraction in the original equation were different?

**Tip**: Always check your work by substituting your result back into the original equation to verify correctness.

This detailed solution shows how to solve the linear equation 1/4x - 3y = 4 for x, covering key algebraic concepts like isolating variables and working with fractions. Suitable for students in Grades 8-10.

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