What Is The Solution To The Equation?$\[ 9.1k = 63.7 \\]The Solution Is \[$\square\$\]

Introduction

When it comes to solving equations, it's essential to understand the concept of variables and constants. In the given equation, 9.1k = 63.7, we have a variable k and a constant 63.7. The goal is to isolate the variable k and find its value. In this article, we will explore the step-by-step process of solving this equation and provide a clear understanding of the solution.

Understanding the Equation

The given equation is a linear equation, which means it can be represented in the form of ax = b, where a is the coefficient of the variable x, and b is the constant term. In this case, a = 9.1 and b = 63.7. The variable k is the unknown quantity that we need to solve for.

Step 1: Isolate the Variable

To solve for k, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 9.1. This will cancel out the coefficient of k, leaving us with the variable alone.

Step 2: Perform the Division

To perform the division, we need to divide both sides of the equation by 9.1. This can be represented as:

$$\frac{9.1k}{9.1} = \frac{63.7}{9.1}$$

Step 3: Simplify the Equation

After performing the division, we can simplify the equation by canceling out the common factor of 9.1. This will leave us with:

$$k = \frac{63.7}{9.1}$$

Step 4: Calculate the Value of k

To calculate the value of k, we need to perform the division. We can use a calculator or perform the division manually.

$$k = \frac{63.7}{9.1} = 7$$

Conclusion

In conclusion, the solution to the equation 9.1k = 63.7 is k = 7. This means that the value of the variable k is 7. We can verify this solution by plugging it back into the original equation and checking if it holds true.

Verification

To verify the solution, we can plug k = 7 back into the original equation:

$$9.1(7) = 63.7$$

Final Answer

After verifying the solution, we can conclude that the final answer is:

$$\boxed{7}$$

Frequently Asked Questions

• What is the solution to the equation 9.1k = 63.7?
• How do I solve for k in the equation 9.1k = 63.7?
• What is the value of k in the equation 9.1k = 63.7?

Answer

• The solution to the equation 9.1k = 63.7 is k = 7.
• To solve for k, you need to isolate it on one side of the equation by dividing both sides by 9.1.
• The value of k in the equation 9.1k = 63.7 is 7.
  

Introduction

Solving equations can be a challenging task, especially when you're dealing with variables and constants. In this article, we'll address some of the most frequently asked questions about solving equations, including the equation 9.1k = 63.7.

Q&A

Q: What is the solution to the equation 9.1k = 63.7?

A: The solution to the equation 9.1k = 63.7 is k = 7.

Q: How do I solve for k in the equation 9.1k = 63.7?

A: To solve for k, you need to isolate it on one side of the equation by dividing both sides by 9.1.

Q: What is the value of k in the equation 9.1k = 63.7?

A: The value of k in the equation 9.1k = 63.7 is 7.

Q: What is the difference between a variable and a constant in an equation?

A: In an equation, a variable is a letter or symbol that represents a value that can change, while a constant is a value that remains the same.

Q: How do I simplify an equation?

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

Q: What is the order of operations in solving equations?

A: The order of operations in solving equations is:

1. Parentheses: Evaluate any expressions inside parentheses first.
2. Exponents: Evaluate any exponential expressions next.
3. Multiplication and Division: Evaluate any multiplication and division operations from left to right.
4. Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.

Q: How do I verify the solution to an equation?

A: To verify the solution to an equation, you need to plug the solution back into the original equation and check if it holds true.

Q: What is the final answer to the equation 9.1k = 63.7?

A: The final answer to the equation 9.1k = 63.7 is k = 7.

Conclusion

Solving equations can be a challenging task, but with the right techniques and strategies, you can master it. In this article, we've addressed some of the most frequently asked questions about solving equations, including the equation 9.1k = 63.7. We hope this article has provided you with a better understanding of how to solve equations and has helped you to become more confident in your math skills.

Additional Resources

• For more information on solving equations, check out our article on Solving Linear Equations.
• For a list of common math formulas and equations, check out our article on Math Formulas and Equations.
• For a list of math resources and websites, check out our article on Math Resources and Websites.

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• Solving Linear Equations
• Math Formulas and Equations
• Math Resources and Websites

Tags

• Solving Equations
• Linear Equations
• Math Formulas
• Math Resources
• Math Websites