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.