In The Equation $R + 14 = 39$, What Is The Value Of $R$?A. 53 B. 546 C. 24 D. 25

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Introduction

In mathematics, solving for a variable in an equation is a fundamental concept that is used extensively in various fields, including algebra, geometry, and calculus. In this article, we will focus on solving for the variable R in the equation R + 14 = 39. This equation is a simple linear equation that can be solved using basic algebraic techniques.

Understanding the Equation

The equation R + 14 = 39 is a linear equation that involves a single variable, R. The equation states that the sum of R and 14 is equal to 39. To solve for R, we need to isolate the variable R on one side of the equation.

Isolating R

To isolate R, we need to get rid of the constant term, 14, that is being added to R. We can do this by subtracting 14 from both sides of the equation. This will give us the value of R.

Solving for R

Let's solve for R by subtracting 14 from both sides of the equation:

R + 14 = 39

Subtracting 14 from both sides:

R = 39 - 14

R = 25

Therefore, the value of R is 25.

Conclusion

In this article, we solved for the variable R in the equation R + 14 = 39. We used basic algebraic techniques to isolate R and find its value. The solution to the equation is R = 25.

Frequently Asked Questions

  • What is the value of R in the equation R + 14 = 39?
  • How do you solve for R in a linear equation?
  • What is the process of isolating a variable in an equation?

Answers

  • The value of R in the equation R + 14 = 39 is 25.
  • To solve for R in a linear equation, you need to isolate the variable R by getting rid of the constant term that is being added to R.
  • The process of isolating a variable in an equation involves subtracting or adding the same value to both sides of the equation to get the variable by itself.

Related Topics

  • Solving linear equations
  • Isolating variables in equations
  • Algebraic techniques for solving equations

Further Reading

  • Khan Academy: Solving Linear Equations
  • Mathway: Solving Linear Equations
  • Wolfram Alpha: Solving Linear Equations

Introduction

In our previous article, we solved for the variable R in the equation R + 14 = 39. In this article, we will provide a Q&A section to help clarify any doubts or questions that readers may have. We will cover a range of topics, from the basics of solving linear equations to more advanced concepts.

Q&A

Q: What is the value of R in the equation R + 14 = 39?

A: The value of R in the equation R + 14 = 39 is 25.

Q: How do you solve for R in a linear equation?

A: To solve for R in a linear equation, you need to isolate the variable R by getting rid of the constant term that is being added to R. This can be done by subtracting or adding the same value to both sides of the equation.

Q: What is the process of isolating a variable in an equation?

A: The process of isolating a variable in an equation involves subtracting or adding the same value to both sides of the equation to get the variable by itself. For example, in the equation R + 14 = 39, we can isolate R by subtracting 14 from both sides.

Q: Can you explain the concept of linear equations in more detail?

A: A linear equation is an equation in which the highest power of the variable is 1. In other words, it is an equation in which the variable is not raised to a power greater than 1. Linear equations can be solved using basic algebraic techniques, such as adding, subtracting, multiplying, and dividing both sides of the equation.

Q: How do you solve a linear equation with a variable on both sides?

A: To solve a linear equation with a variable on both sides, you need to get the variable on one side of the equation by adding, subtracting, multiplying, or dividing both sides of the equation. For example, in the equation R + 2R = 15, we can get R on one side by combining like terms: 3R = 15.

Q: Can you explain the concept of like terms in more detail?

A: Like terms are terms that have the same variable raised to the same power. For example, in the equation 2R + 3R = 5, the terms 2R and 3R are like terms because they both have the variable R raised to the power of 1. Like terms can be combined by adding or subtracting their coefficients.

Q: How do you solve a linear equation with a fraction?

A: To solve a linear equation with a fraction, you need to get rid of the fraction by multiplying both sides of the equation by the denominator. For example, in the equation R/2 = 3, we can get rid of the fraction by multiplying both sides by 2: R = 6.

Q: Can you explain the concept of inverse operations in more detail?

A: Inverse operations are operations that "undo" each other. For example, addition and subtraction are inverse operations because they "undo" each other. Similarly, multiplication and division are inverse operations because they "undo" each other. Inverse operations can be used to solve linear equations by getting rid of the variable.

Conclusion

In this article, we provided a Q&A section to help clarify any doubts or questions that readers may have about solving for R in the equation R + 14 = 39. We covered a range of topics, from the basics of solving linear equations to more advanced concepts.

Frequently Asked Questions

  • What is the value of R in the equation R + 14 = 39?
  • How do you solve for R in a linear equation?
  • What is the process of isolating a variable in an equation?
  • Can you explain the concept of linear equations in more detail?
  • How do you solve a linear equation with a variable on both sides?
  • Can you explain the concept of like terms in more detail?
  • How do you solve a linear equation with a fraction?
  • Can you explain the concept of inverse operations in more detail?

Answers

  • The value of R in the equation R + 14 = 39 is 25.
  • To solve for R in a linear equation, you need to isolate the variable R by getting rid of the constant term that is being added to R.
  • The process of isolating a variable in an equation involves subtracting or adding the same value to both sides of the equation to get the variable by itself.
  • A linear equation is an equation in which the highest power of the variable is 1.
  • To solve a linear equation with a variable on both sides, you need to get the variable on one side of the equation by adding, subtracting, multiplying, or dividing both sides of the equation.
  • Like terms are terms that have the same variable raised to the same power.
  • To solve a linear equation with a fraction, you need to get rid of the fraction by multiplying both sides of the equation by the denominator.
  • Inverse operations are operations that "undo" each other.

Related Topics

  • Solving linear equations
  • Isolating variables in equations
  • Algebraic techniques for solving equations
  • Linear equations with fractions
  • Inverse operations

Further Reading

  • Khan Academy: Solving Linear Equations
  • Mathway: Solving Linear Equations
  • Wolfram Alpha: Solving Linear Equations