Question

Solve and check. $$-8 x+3=-29$$

Name: Problem 28, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-07-02T12:21:45-08:00
Duration: 1 min 14 s
Channel: Joseph Lentino
Description: Solve and check. -8 x+3=-29

   Solve and check. $$-8 x+3=-29$$

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 28

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Solved by Expert Joseph Lentino

07/02/2020

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Solve and check. $$-8 x+3=-29$$

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Key Concepts

Checking the Solution

After solving an equation, it is important to substitute the found value back into the original equation to verify that it satisfies the equation. This step confirms that no errors have been made during the solution process and that the answer is valid.

Isolating the Variable

This concept involves performing operations on both sides of the equation to leave the variable alone on one side. In practice, this may include adding, subtracting, multiplying, or dividing both sides by the same number to undo any operations attached to the variable.

Linear Equations

Linear equations in one variable are equations that can be written in the form ax + b = c, where a, b, and c are constants. These equations represent straight lines when graphed on a coordinate plane and are solved by isolating the variable using inverse operations.

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