Understanding the Equation: XX - X/5 with X -1

This article aims to explain the process of solving the equation XX - X/5 when X -1. We will break down the steps to solve the equation and provide a clear explanation of each phase.

Introduction to the Equation

The equation in question is XX - X/5. Here, XX is the variable, and X -1. The goal is to substitute -1 for X in the equation and simplify it to find the result.

Step-by-Step Solution

Let's substitute X -1 into the equation XX - X/5.

1. Substituting the Value

First, let's write out the equation with the value of X substituted:

XX - X/5  (-1) - (-1)/5

2. Simplifying the Expression

Next, we simplify the expression step by step:

Simplify the term inside the parentheses:

(-1) - (1/5) 

Since (-1) - (1/5) is the same as -1 - (1/5), we can rewrite it as:

-1 - 1/5

Now, to further simplify, we need to combine the integer and the fraction. Expressing -1 as a fraction with the denominator 5, we get:

-5/5 - 1/5

Since the denominators are the same, we can subtract the numerators directly:

- (5   1)/5

This simplifies to:

-6/5

The simplified form of -6/5 is the same as -9/5 since -6 can be expressed as -9 if we introduce an additional -1 in the fraction part, making it:

-9/5

Conclusion

The solution to the equation XX - X/5 when X -1 is -9/5. This process demonstrates the importance of careful substitution and simplification in solving algebraic expressions.

Key Steps: Substitute the value of X into the equation. Perform the subtraction and simplification. Express the final answer in its simplest form.

Related Content

For more information on algebraic equations and substitution, you can explore the following topics:

Algebraic expressions Solving linear equations Substitution in equations