Find The Solution To The Following Equation:${ 5x = 27.5 }$A. { X = 5.5 $}$ B. { X = 6.6 $}$ C. { X = 3.9 $}$ D. { X = 55 $}$
Introduction
In this article, we will be solving a simple algebraic equation to find the value of the variable x. The equation given is 5x = 27.5, and we need to isolate the variable x to find its value. This equation is a basic example of a linear equation, and solving it will help us understand the concept of isolating variables in algebra.
Understanding the Equation
The equation 5x = 27.5 is a linear equation, where 5 is the coefficient of the variable x, and 27.5 is the constant term. To solve for x, we need to isolate the variable x on one side of the equation. This can be done by dividing both sides of the equation by the coefficient of x, which is 5.
Solving the Equation
To solve the equation 5x = 27.5, we need to divide both sides of the equation by 5. This will give us the value of x.
Dividing both sides of the equation by 5:
Simplifying the equation:
Checking the Solution
To check our solution, we can plug the value of x back into the original equation and see if it is true.
Substituting x = 5.5 into the equation:
Simplifying the equation:
Since the equation is true, our solution is correct.
Conclusion
In this article, we solved the equation 5x = 27.5 to find the value of the variable x. We used the concept of isolating variables in algebra to solve the equation, and we checked our solution by plugging the value of x back into the original equation. The correct solution to the equation is x = 5.5.
Answer Key
The correct answer to the equation 5x = 27.5 is:
A. x = 5.5
Frequently Asked Questions
- Q: What is the coefficient of x in the equation 5x = 27.5? A: The coefficient of x is 5.
- Q: What is the constant term in the equation 5x = 27.5? A: The constant term is 27.5.
- Q: How do we solve the equation 5x = 27.5? A: We solve the equation by dividing both sides of the equation by 5.
Additional Resources
- For more information on solving linear equations, see our article on [Solving Linear Equations](link to article).
- For more information on algebra, see our article on [Algebra Basics](link to article).
Discussion
Do you have any questions about solving the equation 5x = 27.5? Do you have any suggestions for additional resources or topics to cover in future articles? Let us know in the comments below!
Introduction
In our previous article, we solved the equation 5x = 27.5 to find the value of the variable x. We used the concept of isolating variables in algebra to solve the equation, and we checked our solution by plugging the value of x back into the original equation. In this article, we will answer some frequently asked questions about solving the equation 5x = 27.5.
Q&A
Q: What is the coefficient of x in the equation 5x = 27.5?
A: The coefficient of x is 5. The coefficient is the number that is multiplied by the variable x.
Q: What is the constant term in the equation 5x = 27.5?
A: The constant term is 27.5. The constant term is the number that is not multiplied by the variable x.
Q: How do we solve the equation 5x = 27.5?
A: We solve the equation by dividing both sides of the equation by 5. This will give us the value of x.
Q: Why do we need to isolate the variable x in the equation 5x = 27.5?
A: We need to isolate the variable x in the equation 5x = 27.5 because we want to find the value of x. Isolating the variable x means that we want to get x by itself on one side of the equation.
Q: Can we use other methods to solve the equation 5x = 27.5?
A: Yes, we can use other methods to solve the equation 5x = 27.5. For example, we can use the inverse operation of multiplication, which is division, to solve the equation.
Q: What is the inverse operation of multiplication?
A: The inverse operation of multiplication is division. When we multiply two numbers together, we can use division to "undo" the multiplication and get back to the original numbers.
Q: Can we use the inverse operation of addition to solve the equation 5x = 27.5?
A: No, we cannot use the inverse operation of addition to solve the equation 5x = 27.5. The inverse operation of addition is subtraction, and we cannot use subtraction to solve this equation.
Q: What is the value of x in the equation 5x = 27.5?
A: The value of x in the equation 5x = 27.5 is 5.5.
Q: How do we check our solution to the equation 5x = 27.5?
A: We check our solution by plugging the value of x back into the original equation and seeing if it is true.
Q: What is the importance of checking our solution to the equation 5x = 27.5?
A: Checking our solution is important because it helps us to make sure that our solution is correct. If we don't check our solution, we may end up with an incorrect answer.
Conclusion
In this article, we answered some frequently asked questions about solving the equation 5x = 27.5. We discussed the coefficient and constant term of the equation, and we explained how to solve the equation using the inverse operation of multiplication. We also discussed the importance of checking our solution to the equation.
Additional Resources
- For more information on solving linear equations, see our article on [Solving Linear Equations](link to article).
- For more information on algebra, see our article on [Algebra Basics](link to article).
Discussion
Do you have any questions about solving the equation 5x = 27.5? Do you have any suggestions for additional resources or topics to cover in future articles? Let us know in the comments below!