Solve For \[$ X \$\] In The Equation:$\[ 64 = X + 100 \\]

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Introduction

In mathematics, solving for a variable in an equation is a fundamental concept that is used to find the value of the variable. In this article, we will focus on solving for $x$ in the equation $64 = x + 100$. This equation is a simple linear equation that can be solved using basic algebraic techniques.

Understanding the Equation

The given equation is $64 = x + 100$. This equation states that the value of $x$ plus 100 is equal to 64. To solve for $x$, we need to isolate the variable $x$ on one side of the equation.

Isolating the Variable

To isolate the variable $x$, we need to get rid of the constant term 100 on the same side of the equation as $x$. We can do this by subtracting 100 from both sides of the equation.

Subtracting 100 from Both Sides

Subtracting 100 from both sides of the equation gives us:

${64 - 100 = x + 100 - 100}$

Simplifying the equation, we get:

${-36 = x}$

Solution

Therefore, the solution to the equation $64 = x + 100$ is $x = -36$. This means that the value of $x$ that satisfies the equation is -36.

Checking the Solution

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

Plugging in the Value of $x$

Plugging in $x = -36$ into the original equation, we get:

${64 = -36 + 100}$

Simplifying the equation, we get:

${64 = 64}$

This shows that the solution $x = -36$ is correct.

Conclusion

In this article, we solved for $x$ in the equation $64 = x + 100$. We used basic algebraic techniques to isolate the variable $x$ and found that the solution is $x = -36$. We also checked the solution by plugging it back into the original equation and verified that it is correct.

Applications of Solving for $x$

Solving for $x$ in an equation has many applications in mathematics and real-life situations. Some examples include:

• Solving Systems of Equations: Solving for $x$ in an equation is a fundamental step in solving systems of equations. By solving for $x$ in each equation, we can find the values of the variables that satisfy all the equations in the system.
• Graphing Functions: Solving for $x$ in an equation is also used to graph functions. By finding the values of $x$ that satisfy the equation, we can plot the corresponding points on a graph and visualize the function.
• Optimization Problems: Solving for $x$ in an equation is used to solve optimization problems. By finding the values of $x$ that maximize or minimize a function, we can make informed decisions in real-life situations.

Final Thoughts

Solving for $x$ in an equation is a fundamental concept in mathematics that has many applications in real-life situations. By understanding how to solve for $x$, we can solve systems of equations, graph functions, and solve optimization problems. In this article, we solved for $x$ in the equation $64 = x + 100$ and found that the solution is $x = -36$. We also checked the solution by plugging it back into the original equation and verified that it is correct.

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Introduction

In our previous article, we solved for $x$ in the equation $64 = x + 100$. We used basic algebraic techniques to isolate the variable $x$ and found that the solution is $x = -36$. In this article, we will answer some frequently asked questions (FAQs) related to solving for $x$ in the equation $64 = x + 100$.

Q&A

Q: What is the equation $64 = x + 100$?

A: The equation $64 = x + 100$ is a simple linear equation that states that the value of $x$ plus 100 is equal to 64.

Q: How do I solve for $x$ in the equation $64 = x + 100$?

A: To solve for $x$ in the equation $64 = x + 100$, you need to isolate the variable $x$ on one side of the equation. You can do this by subtracting 100 from both sides of the equation.

Q: What is the solution to the equation $64 = x + 100$?

A: The solution to the equation $64 = x + 100$ is $x = -36$. This means that the value of $x$ that satisfies the equation is -36.

Q: How do I check the solution to the equation $64 = x + 100$?

A: To check the solution, you can plug in the value of $x$ back into the original equation and see if it is true. If the equation is true, then the solution is correct.

Q: What are some applications of solving for $x$ in an equation?

A: Solving for $x$ in an equation has many applications in mathematics and real-life situations. Some examples include solving systems of equations, graphing functions, and solving optimization problems.

Q: Can I use a calculator to solve for $x$ in the equation $64 = x + 100$?

A: Yes, you can use a calculator to solve for $x$ in the equation $64 = x + 100$. However, it's always a good idea to understand the algebraic steps involved in solving for $x$.

Q: What if I have a more complex equation, such as $2x + 5 = 11$? How do I solve for $x$ in this equation?

A: To solve for $x$ in the equation $2x + 5 = 11$, you need to isolate the variable $x$ on one side of the equation. You can do this by subtracting 5 from both sides of the equation and then dividing both sides by 2.

Q: Can I use the same steps to solve for $x$ in any equation?

A: Yes, you can use the same steps to solve for $x$ in any equation. However, the steps may vary depending on the complexity of the equation.

Conclusion

In this article, we answered some frequently asked questions (FAQs) related to solving for $x$ in the equation $64 = x + 100$. We covered topics such as solving for $x$, checking the solution, and applications of solving for $x$ in an equation. We also provided examples of how to solve for $x$ in more complex equations.

Final Thoughts

Solving for $x$ in an equation is a fundamental concept in mathematics that has many applications in real-life situations. By understanding how to solve for $x$, we can solve systems of equations, graph functions, and solve optimization problems. In this article, we provided a comprehensive guide to solving for $x$ in the equation $64 = x + 100$ and answered some frequently asked questions (FAQs) related to this topic.

Additional Resources

• Algebraic Techniques: For more information on algebraic techniques, including solving for $x$ in an equation, check out our article on algebraic techniques.
• Solving Systems of Equations: For more information on solving systems of equations, check out our article on solving systems of equations.
• Graphing Functions: For more information on graphing functions, check out our article on graphing functions.

Related Articles

• Solving for $x$ in the Equation $2x + 5 = 11$: For more information on solving for $x$ in the equation $2x + 5 = 11$, check out our article on solving for $x$ in the equation $2x + 5 = 11$.
• Solving Systems of Equations: For more information on solving systems of equations, check out our article on solving systems of equations.
• Graphing Functions: For more information on graphing functions, check out our article on graphing functions.