Formulating the Linear Equation:
To represent the relationship between two numbers where one is three times the other, we can assign variables to the two numbers. Let's assume the first number is represented by x and the second number is represented by y. Given that one number is three times the other, we can write this relationship as:
1. y = 3x
This equation states that the second number (y) is equal to three times the first number (x). This linear equation in two variables captures the given relationship succinctly.

Interpreting the Equation:
When using the equation y = 3x, any pair of numbers that satisfies this equation will follow the rule that one number is three times the other. For example, if x = 2, then y would be 6 since y = 3 * 2. Similarly, if x = 5, then y would be 15.
This equation provides a clear representation of how the two numbers are related to each other, making it easy to determine one number when the other is known.

Applying the Equation:
The linear equation y = 3x can be used in various mathematical problems, including word problems, algebraic manipulations, and graphical representations. By substituting different values for x, we can find corresponding values for y that satisfy the given relationship.
In real-world scenarios, this equation can be applied to situations where one quantity is a multiple of another, such as when calculating costs based on a fixed price per unit or determining quantities in a proportional relationship.
Overall, this linear equation provides a simple yet powerful way to express the relationship between two numbers, where one is three times the other.