Solve and check. -(b)/(3)=6

Name: Problem 74, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T16:31:26-08:00
Duration: 1 min 11 s
Channel: Ethan Somes
Description: Solve and check. -(b)/(3)=6

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Key Concepts

Linear Equations

Linear equations involve variables raised only to the first power and constant terms. They can be represented graphically as straight lines and are solved by isolating the variable on one side of the equation through a series of algebraic manipulations.

Inverse Operations

Inverse operations are used to undo arithmetic actions and help isolate the variable in an equation. For example, if a variable is divided by a number, multiplying both sides of the equation by that number reverses the division, which is crucial when solving linear equations.

Multiplication Property of Equality

The multiplication property of equality is a fundamental algebraic principle stating that multiplying both sides of an equation by the same nonzero number does not affect the equality. This property is often applied to eliminate fractions or coefficients attached to the variable.

Verification of Solutions

Verifying solutions involves substituting the obtained value back into the original equation to ensure that both sides are equal. This step confirms the correctness of the solution and helps catch any errors made during the solving process.

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