To solve the linear equation $3x + y = 6$, there are two main approaches depending on what you need:

1. Solve for $y$ in terms of $x$: $y = 6 - 3x$ This is the equation in slope-intercept form ($y = mx + b$), where the slope $m = -3$ and the y-intercept is $6$.

2. Solve for $x$ in terms of $y$: $x = \frac{6 - y}{3}$ This gives the value of $x$ for a given value of $y$.

Would you like me to solve for specific values, graph this equation, or work on a system of equations with this?

Related Questions:

1. How do you find the slope and intercept of a line from an equation?
2. What does solving for $y$ in terms of $x$ mean graphically?
3. How can this equation be solved in terms of inequalities?
4. How would this equation change if the constant were different, say $3x + y = 10$?
5. Can you solve this equation by substitution if paired with another?

Tip: When solving linear equations, putting them into slope-intercept form makes it easier to visualize their graph.