Solve and check. 5 x=-15

Name: Problem 61, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T16:13:35-08:00
Duration: 1 min 4 s
Channel: Ethan Somes
Description: Solve and check. 5 x=-15

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Key Concepts

Linear Equations

A linear equation is an algebraic equation where the highest power of the variable is one. It represents a straight line when graphed and typically takes the form ax + b = 0, where solving for the variable involves finding the value that balances the equation.

Isolation of the Variable

Isolation of the variable involves using algebraic operations such as division or subtraction to get the unknown variable by itself on one side of the equation. This method is fundamental for reducing the equation to a form where the solution can be clearly identified.

Properties of Equality

The properties of equality state that if the same operation is performed on both sides of an equation, the equality is maintained. These properties are essential when manipulating equations, as they ensure that the transformation steps lead to an equivalent equation that preserves the solution.

Solution Verification

Solution verification means substituting the found value back into the original equation to check whether it satisfies the equation. This process confirms the validity of the solution and helps catch any mistakes made during the solution process.

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