Express y in the terms of x 3y+5x=9

Answer

To express \( y \) in terms of \( x \) from the equation \( 3y + 5x = 9 \), we will follow these steps:

### Step-by-Step Solution:

1. **Start with the original equation:**
\[ 3y + 5x = 9 \]

2. **Isolate the term containing \( y \):**
To do this, we will subtract \( 5x \) from both sides of the equation:
\[ 3y = 9 - 5x \]

3. **Divide both sides by 3 to solve for \( y \):**
Since \( 3y \) means \( y \) is multiplied by 3, we will divide both sides by 3:
\[ y = \frac{9 - 5x}{3} \]

4. **Simplify the expression:**
We can separate the fraction:
\[ y = \frac{9}{3} - \frac{5x}{3} \]
This simplifies to:
\[ y = 3 - \frac{5}{3}x \]

### Final Answer:
Thus, \( y \) expressed in terms of \( x \) is:
\[ y = 3 - \frac{5}{3}x \]