The equation given is:

$2x + 3y = 12$

This is a linear equation in two variables, $x$ and $y$. You can solve this equation for one variable in terms of the other, or if given additional information (like another equation), you could solve for both $x$ and $y$.

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

$3y = 12 - 2x$

Now, divide by 3:

$y = \frac{12 - 2x}{3}$

This simplifies to:

$y = 4 - \frac{2}{3}x$

Thus, $y$ is expressed in terms of $x$.

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

$2x = 12 - 3y$

Now, divide by 2:

$x = \frac{12 - 3y}{2}$

This simplifies to:

$x = 6 - \frac{3}{2}y$

Thus, $x$ is expressed in terms of $y$.

Would you like more details on how to graph this or solve it further with specific values?

---

Here are five related questions:

1. How do you graph the equation $2x + 3y = 12$ on a coordinate plane?
2. What are the intercepts of the equation $2x + 3y = 12$?
3. How do you find the slope of a line from the equation $2x + 3y = 12$?
4. How would you solve this equation if given a second equation in a system?
5. What happens if you substitute specific values for $x$ or $y$?

Tip: A linear equation can always be rewritten in slope-intercept form $y = mx + b$, which makes it easier to understand the slope and y-intercept of the line.