Solving the Equation 6x - 9 57: A Comprehensive Guide for SEO
Welcome to our guide on solving the algebraic equation 6x - 9 57. This article is designed to provide a clear and concise explanation of how to approach and solve this type of equation. We will break down the steps and ensure that our methods are SEO-friendly and easy to understand. If you're a student or a teacher looking to enhance your algebra skills, this guide is perfect for you.
Unraveling the Equation: 6x - 9 57
Let's denote the unknown number as x. According to the problem, if 9 is subtracted from 6 times a number, the result is 57. We can express this as an equation:
6x - 9 57
Step-by-Step Solution
Step 1: Adding 9 to Both Sides
First, let's add 9 to both sides of the equation:
6x - 9 9 57 9
By adding 9 to both sides, we simplify the equation to:
6x 66
Step 2: Dividing Both Sides by 6
Next, divide both sides by 6 to isolate x:
x frac{66}{6}
Perform the division to get:
x 11
Verification
To double-check our solution, let's substitute x 11 into the original equation:
6(11) - 9 57
66 - 9 57
57 57
The equation holds true, confirming that x 11 is the correct solution.
SEO Optimization Tips for Solving Equations
Use Keywords Naturally
When optimizing your content for SEO, include keywords naturally throughout your text. For instance, instead of repeatedly writing '6x - 9 57', use variations like 'algebraic equation' and 'solving equation'. This makes your content more readable and helps search engines better understand the topic.
Provide Examples and Step-by-Step Solutions
Using examples and step-by-step solutions, such as the one we just provided, not only makes your content more detailed but also improves its SEO. Search engines prefer well-detailed content that is easy to understand and navigate.
Include Mathematical Notations
Make sure to include mathematical notations using appropriate HTML tags. This helps search engines and readers understand the complexity of the content. For example, use the code tag to display the equation clearly.
Conclusion
Solving the algebraic equation 6x - 9 57 is a straightforward process that involves adding 9 to both sides and then dividing by 6. By understanding and applying these steps, you can confidently solve similar equations in the future. For more help with algebra and other mathematical topics, continue exploring our resources or reach out to us for further assistance.