To solve the linear equation $3x - 4y = 6$, we can approach it in different ways depending on what you're looking for. I'll assume you're interested in solving for one variable in terms of the other (either $x$ or $y$).

Solving for $x$ in terms of $y$:

1. Start with the given equation: $3x - 4y = 6$
2. Add $4y$ to both sides: $3x = 6 + 4y$
3. Divide both sides by 3 to solve for $x$: $x = \frac{6 + 4y}{3}$ Simplifying: $x = 2 + \frac{4y}{3}$

Solving for $y$ in terms of $x$:

1. Start with the same equation: $3x - 4y = 6$
2. Subtract $3x$ from both sides: $-4y = 6 - 3x$
3. Divide both sides by $-4$: $y = \frac{3x - 6}{4}$ Simplifying: $y = \frac{3x}{4} - \frac{6}{4}$ $y = \frac{3x}{4} - \frac{3}{2}$

Would you like more details or have any questions?

Here are 5 questions for further practice:

1. What is the slope of the line represented by $3x - 4y = 6$?
2. How do you graph the equation $3x - 4y = 6$?
3. What is the solution to the system of equations $3x - 4y = 6$ and $x + y = 5$?
4. How do you rewrite $3x - 4y = 6$ in slope-intercept form?
5. Can you find the intercepts of the line $3x - 4y = 6$?

Tip: When solving linear equations, always isolate the variable by performing inverse operations step-by-step.