https://file.aiquickdraw.com/mathbot/file/1725896486531mgf2f8bv.jpg

We are given the equation:

\[
7x - y = 14
\]

We need to solve for \( x \).

### Step 1: Isolate \( 7x \)
Add \( y \) to both sides of the equation:
\[
7x = y + 14
\]

### Step 2: Solve for \( x \)
Divide both sides by 7:
\[
x = \frac{y + 14}{7}
\]
Simplify:
\[
x = \frac{y}{7} + 2
\]

So, the correct solution is:

\[
x = 2 + \frac{y}{7}
\]

This corresponds to the last option in the provided multiple choice answers.

### Do you want further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would the solution change if the equation were \( 7x - y = 20 \)?
2. What if the coefficient of \( x \) was different, such as \( 6x - y = 14 \)?
3. Can you solve this for \( y \) in terms of \( x \)?
4. How would this method work if the equation was \( 7x + y = 14 \) instead?
5. What is the graphical representation of this equation?

**Tip**: Always ensure you isolate the term you are solving for before performing operations such as division.

Solve for x: 7x - y = 14. Which option is correct?
1. x = 7y - 14
2. x = 2/7 + y
3. x = 2 - y/7
4. x = 2 + y/7

Learn how to solve the linear equation 7x - y = 14 for x with a detailed step-by-step solution. This problem covers key algebraic concepts such as isolating variables and solving linear equations. Suitable for students in Grades 7-9.

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