Solve and check. 20=(1)/(4) c

Name: Problem 68, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T16:22:51-08:00
Duration: 1 min 10 s
Channel: Ethan Somes
Description: Solve and check. 20=(1)/(4) c

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Key Concepts

Checking Solutions

Checking solutions involves substituting the obtained answer back into the original equation to ensure that the solution satisfies the equation. This is an important practice to verify that no mistakes were made during the solving process.

Inverse Operations

Inverse operations are techniques used to undo an operation on one side of an equation to isolate the variable. For instance, if a variable is multiplied by a fraction, multiplying by its reciprocal will cancel the fraction, which is a key step in solving linear equations.

Linear Equations

Linear equations are algebraic equations of the first degree, meaning they contain no powers higher than 1 on the variable. They are solved by isolating the variable on one side of the equation using inverse operations, providing a unique solution for the variable.

Operations with Fractions

Operations with fractions involve arithmetic procedures that include multiplying or dividing by fractions. In the context of linear equations, multiplying both sides of an equation by the reciprocal of a fraction helps remove the fraction, making it easier to solve for the variable.

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