Solve and check. b+7=7

Name: Problem 33, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-20T19:41:47-08:00
Duration: 42 s
Channel: Ethan Somes
Description: Solve and check. b+7=7

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Key Concepts

Verification of Solutions

Verification involves substituting the found solution back into the original equation to ensure that it satisfies the equation's conditions. This step confirms the accuracy of the solution and helps identify any possible mistakes made during the calculation process. It is a critical part of problem solving in algebra, ensuring the solution is valid and consistent with the equation.

Linear Equations

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. These equations graph as straight lines and their solutions consist of the variable values that make the equation true. Solving linear equations is a fundamental concept in algebra that forms the basis for more advanced topics such as systems of equations and linear algebra.

Isolating Variables

Isolating the variable is a key technique in solving equations, where you perform operations that leave the variable alone on one side of the equation. This process involves using inverse operations, such as subtracting or dividing, to simplify the equation and determine the value of the variable. It is essential for manipulating and solving equations in a clear and systematic manner.

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