Solve and check. -(y)/(2)=5

Name: Problem 73, Chapter 5: Prealgebra and Introductory Algebra
Uploaded: 2020-06-21T16:29:51-08:00
Duration: 1 min 27 s
Channel: Ethan Somes
Description: Solve and check. -(y)/(2)=5

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Key Concepts

Solution Verification

Solution verification involves substituting the found value back into the original equation to ensure that the resulting equality holds true. This step is essential to confirm that the solution derived is correct and has not been affected by any error during manipulation.

Linear Equations

Linear equations are equations in which the variable is raised only to the first power, meaning their graphs are straight lines. The goal in solving a linear equation is to isolate the variable on one side of the equation using arithmetic operations such as addition, subtraction, multiplication, or division.

Inverse Operations

Inverse operations are used to 'undo' a mathematical operation in order to isolate the variable. For instance, if a variable is multiplied by a number or divided by a number, performing the corresponding division or multiplication will eliminate that factor, simplifying the equation.

Properties of Equality

The properties of equality, such as the addition, subtraction, multiplication, and division properties, allow you to perform the same operation on both sides of an equation without changing the equality. This is fundamental in rearranging and solving equations.

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