Add 0 to both sides of the equation

Oct 13, 2025 by talynt.org 122 views

Introduction

In mathematics, equations are a fundamental concept that helps us solve problems and understand various mathematical relationships. When we encounter an equation like $z - 0 = 15$ , our goal is to find the value of the variable $z$ that satisfies the equation. In this article, we will explore the solution of this equation and provide a step-by-step guide on how to solve it.

Understanding the Equation

The given equation is $z - 0 = 15$ . To solve this equation, we need to isolate the variable $z$ on one side of the equation. The equation can be rewritten as $z = 15$ , where $0$ is the additive identity, meaning that when added to any number, it does not change the value of the number.

Solving the Equation

To solve the equation $z - 0 = 15$ , we can use the following steps:

Add 0 to both sides of the equation: This will not change the value of the equation, but it will help us isolate the variable $z$ .
Simplify the equation: After adding 0 to both sides, the equation becomes $z = 15$ .
Write the solution: The solution to the equation is $z = 15$ .

Why is the Solution $z = 15$ ?

The solution $z = 15$ is the value of the variable $z$ that satisfies the equation $z - 0 = 15$ . When we substitute $z = 15$ into the equation, we get:

$15 - 0 = 15$

This equation is true, which means that $z = 15$ is the correct solution to the equation.

What if the Equation is $z - 0 = -15$ ?

If the equation is $z - 0 = -15$ , we can follow the same steps to solve it:

Add 0 to both sides of the equation: This will not change the value of the equation, but it will help us isolate the variable $z$ .
Simplify the equation: After adding 0 to both sides, the equation becomes $z = -15$ .
Write the solution: The solution to the equation is $z = -15$ .

Conclusion

In conclusion, the solution to the equation $z - 0 = 15$ is $z = 15$ . We can solve this equation by adding 0 to both sides and simplifying the equation. The solution $z = 15$ satisfies the equation, and we can verify this by substituting $z = 15$ into the equation.

Frequently Asked Questions

What is the solution to the equation $z - 0 = 15$ ? The solution to the equation $z - 0 = 15$ is $z = 15$ .
How do I solve the equation $z - 0 = 15$ ? To solve the equation $z - 0 = 15$ , add 0 to both sides and simplify the equation.
What if the equation is $z - 0 = -15$ ? If the equation is $z - 0 = -15$ , the solution is $z = -15$ .

Final Answer

The final answer is $\boxed{15}$ .

Introduction

In our previous article, we explored the solution to the equation $z - 0 = 15$ . In this article, we will answer some frequently asked questions (FAQs) about the equation and provide additional information to help you understand the concept better.

Q&A

Q1: What is the solution to the equation $z - 0 = 15$ ?

A1: The solution to the equation $z - 0 = 15$ is $z = 15$ .

Q2: How do I solve the equation $z - 0 = 15$ ?

A2: To solve the equation $z - 0 = 15$ , add 0 to both sides and simplify the equation. This will give you the solution $z = 15$ .

Q3: What if the equation is $z - 0 = -15$ ?

A3: If the equation is $z - 0 = -15$ , the solution is $z = -15$ . You can solve this equation by adding 0 to both sides and simplifying the equation.

Q4: Why do we add 0 to both sides of the equation?

A4: We add 0 to both sides of the equation to isolate the variable $z$ . This is a common technique used in algebra to solve equations.

Q5: Can I use other numbers instead of 15 in the equation?

A5: Yes, you can use other numbers instead of 15 in the equation. For example, if the equation is $z - 0 = 20$ , the solution would be $z = 20$ .

Q6: How do I know if the solution is correct?

A6: To verify if the solution is correct, substitute the solution back into the original equation. If the equation is true, then the solution is correct.

Q7: Can I use this technique to solve other equations?

A7: Yes, you can use this technique to solve other equations. The technique of adding 0 to both sides of the equation is a general method that can be applied to many types of equations.

Q8: What if the equation has multiple variables?

A8: If the equation has multiple variables, you may need to use more advanced techniques to solve it. However, the basic principle of adding 0 to both sides of the equation remains the same.

Q9: Can I use this technique to solve equations with fractions or decimals?

A9: Yes, you can use this technique to solve equations with fractions or decimals. The technique of adding 0 to both sides of the equation works for all types of numbers, including fractions and decimals.

Q10: Where can I learn more about solving equations?

A10: You can learn more about solving equations by reading algebra textbooks, online resources, or taking a math course. There are many resources available to help you learn and practice solving equations.

Conclusion

In conclusion, the equation $z - 0 = 15$ is a simple equation that can be solved by adding 0 to both sides and simplifying the equation. We have answered some frequently asked questions about the equation and provided additional information to help you understand the concept better. If you have any more questions or need further clarification, feel free to ask.

Final Answer

The final answer is $\boxed{15}$ .