Select The Best Answer For The Question.12. Solve For $x$ In The Equation $x - 4 = 7$.A. $ X = − 3 X = -3 X = − 3 [/tex]B. $x = 3$C. $x = 28$D. $ X = 11 X = 11 X = 11 [/tex]

by ADMIN 182 views

Introduction

Solving for x in an equation is a fundamental concept in mathematics, and it is essential to understand how to isolate the variable x to find its value. In this article, we will focus on solving for x in the equation x - 4 = 7. We will break down the steps involved in solving this equation and provide the correct solution.

Understanding the Equation

The given equation is x - 4 = 7. To solve for x, we need to isolate the variable x on one side of the equation. The equation consists of two terms: x and -4. The goal is to get rid of the -4 term and find the value of x.

Step 1: Add 4 to Both Sides of the Equation

To isolate x, we need to get rid of the -4 term. We can do this by adding 4 to both sides of the equation. This will cancel out the -4 term on the left side of the equation.

x - 4 + 4 = 7 + 4

Step 2: Simplify the Equation

After adding 4 to both sides of the equation, we get x = 11. This is because the -4 and +4 terms cancel each other out, leaving us with just x.

x = 11

Conclusion

Based on the steps outlined above, we can conclude that the correct solution to the equation x - 4 = 7 is x = 11. This is the only option that satisfies the equation.

Selecting the Best Answer

Given the options provided, the correct answer is:

  • A. x = -3 (Incorrect)
  • B. x = 3 (Incorrect)
  • C. x = 28 (Incorrect)
  • D. x = 11 (Correct)

Therefore, the best answer for the question is D. x = 11.

Discussion

Solving for x in an equation is a crucial skill in mathematics, and it is essential to understand how to isolate the variable x to find its value. In this article, we focused on solving for x in the equation x - 4 = 7. We broke down the steps involved in solving this equation and provided the correct solution. By following these steps, you can solve for x in any equation that involves a variable and a constant term.

Frequently Asked Questions

  • Q: What is the first step in solving for x in the equation x - 4 = 7? A: The first step is to add 4 to both sides of the equation to get rid of the -4 term.
  • Q: What is the value of x in the equation x - 4 = 7? A: The value of x is 11.
  • Q: How do I select the best answer for the question? A: To select the best answer, you need to evaluate each option and choose the one that satisfies the equation.

Final Thoughts

Solving for x in an equation is a fundamental concept in mathematics, and it is essential to understand how to isolate the variable x to find its value. By following the steps outlined in this article, you can solve for x in any equation that involves a variable and a constant term. Remember to add 4 to both sides of the equation to get rid of the -4 term and find the value of x.

Introduction

In our previous article, we discussed how to solve for x in the equation x - 4 = 7. We broke down the steps involved in solving this equation and provided the correct solution. In this article, we will continue to provide more information and answer frequently asked questions about solving for x in the equation x - 4 = 7.

Q&A

Q: What is the first step in solving for x in the equation x - 4 = 7?

A: The first step is to add 4 to both sides of the equation to get rid of the -4 term. This will help us isolate the variable x and find its value.

Q: Why do we need to add 4 to both sides of the equation?

A: We need to add 4 to both sides of the equation to cancel out the -4 term on the left side of the equation. This will help us get rid of the -4 term and find the value of x.

Q: What is the value of x in the equation x - 4 = 7?

A: The value of x is 11. This is because after adding 4 to both sides of the equation, we get x = 11.

Q: How do I select the best answer for the question?

A: To select the best answer, you need to evaluate each option and choose the one that satisfies the equation. In this case, the correct answer is D. x = 11.

Q: What if I have a different equation, such as x + 3 = 9? How do I solve for x in this equation?

A: To solve for x in the equation x + 3 = 9, you need to subtract 3 from both sides of the equation. This will help you isolate the variable x and find its value.

Q: Can you provide an example of how to solve for x in the equation x + 3 = 9?

A: Here's an example:

x + 3 = 9

Subtract 3 from both sides of the equation:

x + 3 - 3 = 9 - 3

x = 6

Therefore, the value of x in the equation x + 3 = 9 is 6.

Q: What if I have a negative number in the equation, such as x - 5 = 2? How do I solve for x in this equation?

A: To solve for x in the equation x - 5 = 2, you need to add 5 to both sides of the equation. This will help you isolate the variable x and find its value.

Q: Can you provide an example of how to solve for x in the equation x - 5 = 2?

A: Here's an example:

x - 5 = 2

Add 5 to both sides of the equation:

x - 5 + 5 = 2 + 5

x = 7

Therefore, the value of x in the equation x - 5 = 2 is 7.

Conclusion

Solving for x in an equation is a fundamental concept in mathematics, and it is essential to understand how to isolate the variable x to find its value. By following the steps outlined in this article, you can solve for x in any equation that involves a variable and a constant term. Remember to add or subtract the constant term from both sides of the equation to get rid of the constant term and find the value of x.

Frequently Asked Questions

  • Q: What is the first step in solving for x in the equation x - 4 = 7? A: The first step is to add 4 to both sides of the equation to get rid of the -4 term.
  • Q: What is the value of x in the equation x - 4 = 7? A: The value of x is 11.
  • Q: How do I select the best answer for the question? A: To select the best answer, you need to evaluate each option and choose the one that satisfies the equation.

Final Thoughts

Solving for x in an equation is a fundamental concept in mathematics, and it is essential to understand how to isolate the variable x to find its value. By following the steps outlined in this article, you can solve for x in any equation that involves a variable and a constant term. Remember to add or subtract the constant term from both sides of the equation to get rid of the constant term and find the value of x.