Solve: $x + 6 = 8$x = $

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Introduction

Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is a subject that deals with numbers, quantities, and shapes. In mathematics, we often come across equations that need to be solved to find the value of a variable. One such equation is $x + 6 = 8$. In this article, we will learn how to solve this equation and find the value of $x$.

Understanding the Equation

The given equation is $x + 6 = 8$. This is a linear equation in one variable, where $x$ is the variable and $6$ and $8$ are constants. The equation states that the sum of $x$ and $6$ is equal to $8$. Our goal is to isolate the variable $x$ and find its value.

Solving the Equation

To solve the equation $x + 6 = 8$, we need to isolate the variable $x$. We can do this by subtracting $6$ from both sides of the equation. This will give us the value of $x$.

Step 1: Subtract 6 from both sides

$x + 6 = 8$

Subtracting $6$ from both sides gives us:

$x + 6 - 6 = 8 - 6$

$x = 2$

Step 2: Verify the solution

To verify the solution, we can plug the value of $x$ back into the original equation and check if it is true.

$x + 6 = 8$

Substituting $x = 2$ into the equation gives us:

$2 + 6 = 8$

$8 = 8$

Since the equation is true, we can confirm that the value of $x$ is indeed $2$.

Conclusion

In this article, we learned how to solve the equation $x + 6 = 8$ and find the value of $x$. We used the method of subtraction to isolate the variable $x$ and found that $x = 2$. We also verified the solution by plugging the value of $x$ back into the original equation. This demonstrates the importance of verifying solutions in mathematics.

Tips and Tricks

• When solving equations, always isolate the variable on one side of the equation.
• Use the method of addition, subtraction, multiplication, or division to isolate the variable.
• Verify the solution by plugging the value of the variable back into the original equation.

Frequently Asked Questions

• What is the value of $x$ in the equation $x + 6 = 8$?
• How do I solve the equation $x + 6 = 8$?
• What is the method of solving linear equations in one variable?

Related Topics

• Solving linear equations in one variable
• Solving quadratic equations
• Solving systems of linear equations

References

• [1] "Algebra" by Michael Artin
• [2] "Linear Algebra" by Jim Hefferon
• [3] "Mathematics for Computer Science" by Eric Lehman

Further Reading

• For more information on solving linear equations in one variable, see the article "Solving Linear Equations in One Variable".
• For more information on solving quadratic equations, see the article "Solving Quadratic Equations".
• For more information on solving systems of linear equations, see the article "Solving Systems of Linear Equations".
  

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Introduction

In our previous article, we learned how to solve the equation $x + 6 = 8$ and find the value of $x$. In this article, we will answer some frequently asked questions related to solving linear equations in one variable.

Q&A

Q: What is the value of $x$ in the equation $x + 6 = 8$?

A: The value of $x$ in the equation $x + 6 = 8$ is $2$. We can find this by subtracting $6$ from both sides of the equation.

Q: How do I solve the equation $x + 6 = 8$?

A: To solve the equation $x + 6 = 8$, we need to isolate the variable $x$. We can do this by subtracting $6$ from both sides of the equation.

Q: What is the method of solving linear equations in one variable?

A: The method of solving linear equations in one variable involves isolating the variable on one side of the equation. We can do this by using the methods of addition, subtraction, multiplication, or division.

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

A: To verify the solution to an equation, we need to plug the value of the variable back into the original equation and check if it is true.

Q: What is the difference between a linear equation and a quadratic equation?

A: A linear equation is an equation in which the highest power of the variable is $1$. A quadratic equation is an equation in which the highest power of the variable is $2$.

Q: How do I solve a system of linear equations?

A: To solve a system of linear equations, we need to find the values of the variables that satisfy all the equations in the system. We can do this by using the method of substitution or elimination.

Q: What is the importance of verifying solutions in mathematics?

A: Verifying solutions is important in mathematics because it ensures that the solution is correct and that the equation is true.

Tips and Tricks

• Always isolate the variable on one side of the equation when solving linear equations.
• Use the methods of addition, subtraction, multiplication, or division to isolate the variable.
• Verify the solution by plugging the value of the variable back into the original equation.

Frequently Asked Questions

• What is the value of $x$ in the equation $x + 6 = 8$?
• How do I solve the equation $x + 6 = 8$?
• What is the method of solving linear equations in one variable?
• How do I verify the solution to an equation?
• What is the difference between a linear equation and a quadratic equation?
• How do I solve a system of linear equations?

Related Topics

• Solving linear equations in one variable
• Solving quadratic equations
• Solving systems of linear equations

References

• [1] "Algebra" by Michael Artin
• [2] "Linear Algebra" by Jim Hefferon
• [3] "Mathematics for Computer Science" by Eric Lehman

Further Reading

• For more information on solving linear equations in one variable, see the article "Solving Linear Equations in One Variable".
• For more information on solving quadratic equations, see the article "Solving Quadratic Equations".
• For more information on solving systems of linear equations, see the article "Solving Systems of Linear Equations".