Solve and check. (x)/(3)=2

Name: Problem 71, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T16:27:25-08:00
Duration: 43 s
Channel: Ethan Somes
Description: Solve and check. (x)/(3)=2

step 1 Here we have the equation x divided by 3 equals 2. In order to get x by itself, we need to do th

Question

Solve and check. $$\frac{x}{3}=2$$

   Solve and check.
$$\frac{x}{3}=2$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 71

Instant Answer

Solved by Expert Ethan Somes

06/21/2020

Step 1

$$3*\frac{x}{3}=2*3$$ This simplifies to: $$x=6$$ Show more…

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Solve and check. $$\frac{x}{3}=2$$

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Key Concepts

Inverse Operations

Inverse operations refer to pairs of mathematical operations that cancel each other out, such as multiplication and division or addition and subtraction. When solving equations, using an inverse operation allows one to isolate the variable by reversing the operation applied to it.

Linear Equations

Linear equations are algebraic expressions in which the variable appears only in the first degree, meaning it is not raised to any power higher than one. These types of equations are foundational in algebra and are characterized by their straight-line graphs when plotted on a coordinate plane.

Solution Verification

Solution verification is the process of substituting the derived value back into the original equation to confirm that both sides equal. This step ensures that the solution is correct and helps prevent errors in algebraic manipulations.

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