Solve and check. 3 b=0

Name: Problem 63, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T16:15:32-08:00
Duration: 57 s
Channel: Ethan Somes
Description: Solve and check. 3 b=0

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Key Concepts

Linear Equations

A linear equation is an algebraic statement that equates a linear expression to another, typically involving one variable raised only to the first power. These equations graph as straight lines and usually have a single solution.

Isolating the Variable

This key strategy involves performing the same operation on both sides of an equation to get the variable alone. It relies on the equality properties, ensuring that the balance of the equation is maintained while simplifying it to a form where the variable can be directly solved.

Division Property of Equality

When an equation features a multiplicative coefficient attached to the variable, dividing both sides by that nonzero constant is a valid method to isolate the variable. This technique is grounded in the property of equality, which states that both sides of the equation remain equal if divided by the same nonzero number.

Solution Verification

After solving the equation, it is essential to check the result by substituting the solution back into the original equation. This confirmation step ensures that the obtained value satisfies the original conditions of the equation.

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