To solve the equation \(4x + 3y = 7\) for one variable in terms of the other, follow these steps:

### Solve for \(x\) in terms of \(y\):
1. **Isolate \(4x\)** on one side by subtracting \(3y\) from both sides:

\[
4x = 7 - 3y
\]

2. **Solve for \(x\)** by dividing both sides by 4:

\[
x = \frac{7 - 3y}{4}
\]

### Solve for \(y\) in terms of \(x\):
1. **Isolate \(3y\)** on one side by subtracting \(4x\) from both sides:

\[
3y = 7 - 4x
\]

2. **Solve for \(y\)** by dividing both sides by 3:

\[
y = \frac{7 - 4x}{3}
\]

So, the solutions are:

- \( x = \frac{7 - 3y}{4} \)
- \( y = \frac{7 - 4x}{3} \)

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

Here are 5 related questions you might find interesting:

1. How would you graph the equation \(4x + 3y = 7\)?
2. What is the slope and y-intercept of the equation \(4x + 3y = 7\)?
3. How would you solve \(4x + 3y = 7\) if \(y = 2\)?
4. What are the solutions if you set \(x = 0\) in the equation?
5. How would the equation change if you multiplied both sides by 2?

**Tip:** When working with linear equations, keep in mind that you can always express one variable in terms of the other by isolating it.

Learn how to solve the linear equation 4x + 3y = 7 with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations. Suitable for students in Grades 7-9.

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