Solve and check. 2 m+5 m=49

Name: Problem 89, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T20:46:34-08:00
Duration: 1 min 7 s
Channel: Ethan Somes
Description: Solve and check. 2 m+5 m=49

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Key Concepts

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 are fundamental in algebra, as they form the basis for understanding more complex equations and systems.

Combining Like Terms

Combining like terms is a technique used to simplify algebraic expressions by merging terms that have the same variable raised to the same power. This process reduces the equation to a simpler form, making it easier to isolate the variable and solve the equation.

Isolating the Variable

Isolating the variable involves manipulating an equation to get the unknown variable on one side and the constants on the other. This is typically done through operations such as addition, subtraction, multiplication, or division, making it possible to solve for the variable's value.

Verification of Solutions

Verification of solutions is the process of substituting the obtained value back into the original equation to ensure that the solution is correct. This step is crucial in algebra to confirm that no errors were made during the manipulation and that the solution satisfies the equation.

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