To solve for \( x \) in the equation \( Z = 2x - y \), follow these steps:

1. Start with the equation:
   \[
   Z = 2x - y
   \]

2. Add \( y \) to both sides to move the \( y \) to the left-hand side:
   \[
   Z + y = 2x
   \]

3. Divide both sides by 2 to isolate \( x \):
   \[
   x = \frac{Z + y}{2}
   \]

Thus, the solution for \( x \) is:
\[
x = \frac{Z + y}{2}
\]

Would you like further details or have any other questions?

Here are 5 related questions:
1. How do you solve for \( y \) in the equation \( Z = 2x - y \)?
2. What happens when \( Z = 0 \) in the equation \( Z = 2x - y \)?
3. How would you express \( y \) in terms of \( x \) and \( Z \)?
4. Can you substitute values for \( Z \) and \( y \) to find \( x \)?
5. What is the graphical interpretation of the equation \( Z = 2x - y \)?

**Tip:** Always check your final equation by plugging values back into the original equation to verify the solution!

Learn how to solve for x in the linear equation Z = 2x - y. This tutorial walks you through step-by-step instructions to rearrange the equation and isolate x. Ideal for students in Grades 6-8 studying algebra and linear equations.

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