Solve and check. n-5=-2

Name: Problem 31, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-20T19:40:00-08:00
Duration: 56 s
Channel: Ethan Somes
Description: Solve and check. n-5=-2

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Key Concepts

Verification of Solutions

Verification is the process of substituting the obtained solution back into the original equation to ensure that it satisfies the equation. This step is crucial in confirming the accuracy of the solution and identifying any possible errors in the solving process.

Inverse Operations

Inverse operations are mathematical operations that undo each other, such as addition and subtraction or multiplication and division. They are fundamental in solving equations because they allow one to systematically reverse operations applied to the variable, enabling isolation of the variable and simplification of the equation.

Isolation of the Variable

Isolating the variable is the process of manipulating an equation so that the variable of interest stands alone on one side of the equation. This is typically done using inverse operations such as addition, subtraction, multiplication, or division to maintain the equality, thereby making it easier to solve for the unknown variable.

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. The key characteristic is that the variable is not raised to any power other than one. Solving linear equations involves finding the value of the variable that makes the equation true.

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