To solve the equation $3x + 2y = -14$, we can express one variable in terms of the other, or we can explore different methods depending on what you're looking for:

Step 1: Express one variable in terms of the other

Let's solve for $y$ in terms of $x$: $3x + 2y = -14$ Subtract $3x$ from both sides: $2y = -14 - 3x$ Now, divide both sides by 2 to isolate $y$: $y = \frac{-14 - 3x}{2}$ This is the equation for $y$ in terms of $x$, giving us the possible values of $y$ depending on the value of $x$.

Example: If $x = 0$:

$y = \frac{-14 - 3(0)}{2} = \frac{-14}{2} = -7$ So, when $x = 0$, $y = -7$.

Would you like to:

1. Solve this equation for a specific $x$ or $y$?
2. Graph the equation?
3. Find the intercepts?
4. Learn more about systems of linear equations?
5. Explore another method like substitution?

Tip: Linear equations like this can be easily visualized by graphing them, which can help you understand the relationship between $x$ and $y$.