Question

Solve and check each equation. $$r-6=11$$

   Solve and check each equation. $$r-6=11$$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 2nd Edition

Chapter 3, Problem 15

Instant Answer

Solved by Expert Caleb Elmore

06/30/2020

Step 1

Step 1: We start with the equation $$r-6=11$$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve and check each equation. $$r-6=11$$

Play audio

Feedback

Powered by NumerAI

Caleb Elmore and 51 other subject Algebra 2 educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Verification of the Solution

Verification involves substituting the derived value of the variable back into the original equation to confirm that both sides of the equation are equal. This step ensures that the solution is correct and that no mistakes were made during the manipulation of the equation.

Inverse Operations

Inverse operations are mathematical operations that counteract each other, such as addition and subtraction, or multiplication and division. In the context of solving a linear equation, inverse operations are used to remove coefficients or constants attached to the variable, thereby simplifying the equation.

Isolating the Variable

In solving linear equations, isolating the variable means rearranging the equation so that the variable of interest is on one side and the constants are on the opposite side. This is commonly achieved using inverse operations, which help in simplifying the equation to directly determine the variable's value.

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. The graph of a linear equation in one variable is a straight line, and solving it typically involves finding the value of the variable that satisfies the equality.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later