Express x interms of y for the eqaution 3x+4y =7

Answer

To express \( x \) in terms of \( y \) from the equation \( 3x + 4y = 7 \), we will follow these steps:

### Step-by-Step Solution:

1. **Start with the given equation**:
\[ 3x + 4y = 7 \]

2. **Isolate the term containing \( x \)**:
To do this, we need to move \( 4y \) to the right side of the equation. We can do this by subtracting \( 4y \) from both sides:
\[ 3x = 7 - 4y \]

3. **Solve for \( x \)**:
Now, we need to isolate \( x \) by dividing both sides of the equation by 3:
\[ x = \frac{7 - 4y}{3} \]

### Final Answer:
Thus, \( x \) in terms of \( y \) is:
\[ x = \frac{7 - 4y}{3} \]