Express y in terms of `x` in the expression `3x – 7y = 10`

Answer

To express \( y \) in terms of \( x \) from the equation \( 3x - 7y = 10 \), we can follow these steps:

### Step 1: Start with the original equation
The original equation is:
\[ 3x - 7y = 10 \]

### Step 2: Isolate the term containing \( y \)
To isolate the term with \( y \), we can move \( 3x \) to the right side of the equation. We do this by subtracting \( 3x \) from both sides:
\[ -7y = 10 - 3x \]

### Step 3: Simplify the equation
Now, we can rewrite the equation:
\[ -7y = -3x + 10 \]

### Step 4: Divide by -7
Next, we want to solve for \( y \) by dividing both sides of the equation by -7:
\[ y = \frac{-3x + 10}{-7} \]

### Step 5: Simplify the expression
This can be simplified further:
\[ y = \frac{3x - 10}{7} \]

### Final answer
Thus, the expression for \( y \) in terms of \( x \) is:
\[ y = \frac{3x - 10}{7} \]

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