You provided one equation:

$3x + y = 6$

Since it's a single equation with two variables, it represents a line in the coordinate plane rather than a single solution. To find solutions, you'll need another equation or additional information. However, I can express $y$ in terms of $x$ or find specific solutions if you provide a value for $x$.

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

From the equation $3x + y = 6$, solve for $y$:

$y = 6 - 3x$

Example Solutions:

1. If $x = 0$: $y = 6 - 3(0) = 6$ Solution: $(x, y) = (0, 6)$.

2. If $x = 2$: $y = 6 - 3(2) = 0$ Solution: $(x, y) = (2, 0)$.

3. If $x = -1$: $y = 6 - 3(-1) = 9$ Solution: $(x, y) = (-1, 9)$.

Would you like more details on this, or do you have any questions?

Here are 5 related questions:

1. What would the graph of $3x + y = 6$ look like?
2. How can you find the x-intercept and y-intercept of the equation?
3. What happens if you multiply the entire equation by a constant?
4. How would you find the slope and y-intercept of this line?
5. What is the significance of the slope in the context of this equation?

Tip: When you have only one equation with two variables, think of it as describing a line. Any point on that line is a solution to the equation.