Solve For { X $} . . . { 100x - 1 = 98 \}

**Solve for $x$ in the Equation $100x - 1 = 98$** =====================================================

Introduction

In this article, we will be solving for the variable $x$ in the given equation $100x - 1 = 98$. This equation is a linear equation, and we will use algebraic methods to isolate the variable $x$ and find its value.

Understanding the Equation

The given equation is $100x - 1 = 98$. This equation is a linear equation, which means it is of the form $ax + b = c$, where $a$, $b$, and $c$ are constants. In this case, $a = 100$, $b = -1$, and $c = 98$.

Step 1: Add 1 to Both Sides

To isolate the variable $x$, we need to get rid of the constant term $-1$ on the left-hand side of the equation. We can do this by adding 1 to both sides of the equation. This gives us:

$$100x - 1 + 1 = 98 + 1$$

Simplifying the equation, we get:

$$100x = 99$$

Step 2: Divide Both Sides by 100

Now that we have isolated the variable $x$ on the left-hand side of the equation, we need to get rid of the coefficient $100$ that is being multiplied by $x$. We can do this by dividing both sides of the equation by 100. This gives us:

$$\frac{100x}{100} = \frac{99}{100}$$

Simplifying the equation, we get:

$$x = \frac{99}{100}$$

Conclusion

In this article, we have solved for the variable $x$ in the equation $100x - 1 = 98$. We used algebraic methods to isolate the variable $x$ and find its value. The final answer is $x = \frac{99}{100}$.

Frequently Asked Questions

Q: What is the value of $x$ in the equation $100x - 1 = 98$?

A: The value of $x$ in the equation $100x - 1 = 98$ is $\frac{99}{100}$.

Q: How do I solve for $x$ in a linear equation?

A: To solve for $x$ in a linear equation, you need to isolate the variable $x$ on one side of the equation. You can do this by adding or subtracting the same value to both sides of the equation, or by multiplying or dividing both sides of the equation by the same non-zero value.

Q: What is the difference between a linear equation and a quadratic equation?

A: A linear equation is an equation of the form $ax + b = c$, where $a$, $b$, and $c$ are constants. A quadratic equation is an equation of the form $ax^2 + bx + c = 0$, where $a$, $b$, and $c$ are constants.

Q: How do I simplify an equation?

A: To simplify an equation, you need to combine like terms and eliminate any unnecessary parentheses or brackets.

Q: What is the final answer to the equation $100x - 1 = 98$?

A: The final answer to the equation $100x - 1 = 98$ is $x = \frac{99}{100}$.

Additional Resources

For more information on solving linear equations, please see the following resources:

• Khan Academy: Solving Linear Equations
• Mathway: Solving Linear Equations
• Wolfram Alpha: Solving Linear Equations

Conclusion

In this article, we have solved for the variable $x$ in the equation $100x - 1 = 98$. We used algebraic methods to isolate the variable $x$ and find its value. The final answer is $x = \frac{99}{100}$. We hope this article has been helpful in understanding how to solve linear equations.