Question: User: 3x+4y=-8
1. **State the problem:** Solve the linear equation $$3x + 4y = -8$$ for one variable in terms of the other.
2. **Formula and rules:** This is a linear equation in two variables. We can isolate one variable to express it in terms of the other.
3. **Isolate $$y$$:**
$$3x + 4y = -8$$
Subtract $$3x$$ from both sides:
$$4y = -8 - 3x$$
4. **Divide both sides by 4:**
$$y = \frac{-8 - 3x}{4}$$
Show cancellation:
$$y = \frac{\cancel{4}(-2) - 3x}{\cancel{4}} = -2 - \frac{3}{4}x$$
5. **Final expression:**
$$y = -2 - \frac{3}{4}x$$
This expresses $$y$$ in terms of $$x$$, which can be used for graphing or further analysis.