Solve and check. 5 x-2=8 x-11

Name: Problem 32, Chapter 11: Basic Mathematical Skills with Geometry
Uploaded: 2020-07-16T00:30:56-08:00
Duration: 26 s
Channel: Ali Soave
Description: Solve and check. 5 x-2=8 x-11

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Key Concepts

Linear Equations

Linear equations are algebraic expressions in which the unknown variable is present only to the first power. They are characterized by their representations of straight lines when graphed and often involve operations such as addition, subtraction, multiplication, or division with constants and the variable.

Isolation of Variables

Isolation of the variable is an essential method in solving equations where the goal is to rearrange the equation so that the unknown variable stands alone on one side of the equation. This process typically involves applying inverse operations like subtraction or division to both sides to maintain equality.

Checking Solutions

Checking solutions is a critical step in the problem-solving process, involving substituting the obtained value back into the original equation to ensure both sides result in the same value. This verification confirms that the solution is correct and adheres to the conditions set by the equation.

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