We are given the equation:

$2x + 3y = 5x - y$

and asked to find the missing value in the solution $(\_\_\_, 0)$.

Step 1: Substitute $y = 0$

Since the point is $(x, 0)$, substitute $y = 0$ into the equation.

$2x + 3(0) = 5x - (0)$

This simplifies to:

$2x = 5x$

Step 2: Solve for $x$

Now, solve for $x$ by moving terms involving $x$ to one side:

$2x - 5x = 0$

$-3x = 0$

$x = 0$

Thus, the missing value is $x = 0$.

Final Answer:

The complete solution is $(0, 0)$.

Would you like further clarification on this solution or more details on specific steps?

Here are five related questions you might find helpful:

1. What would the solution be if $y$ were not 0?
2. How do you handle equations with multiple variables in general?
3. What happens when the equation results in no solution or infinite solutions?
4. Can this equation be graphed, and what does the graph represent?
5. How would you check the solution by substituting into the original equation?

Tip: When solving for one variable, always check if substituting back into the equation yields the correct result to verify your solution.