step 1 For exercise 54, grouping my like terms, I have 10 y equal to negative 20. I'll divide both side

10 y+15=-5 | Numerade

Name: Problem 54, Chapter 2: Algebra A Combined Function
Uploaded: 2022-02-07T01:23:50-08:00
Duration: 33 s
Channel: Victor Salazar
Description: 10 y+15=-5

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Key Concepts

Linear Equation

A linear equation is an algebraic statement typically involving a variable raised only to the first power, and it represents a straight line when graphed. These equations involve simple operations such as addition, subtraction, multiplication, and division and can be solved by isolating the variable.

Isolating the Variable

Isolating the variable involves rearranging the equation so that the variable appears on one side by itself. This is achieved by performing appropriate arithmetic operations to remove other terms from the side containing the variable.

Inverse Operations

Inverse operations are used to 'undo' a given operation. For example, if a variable is multiplied by a constant, division by that constant is applied as the inverse operation. This concept is essential in solving equations systematically by reversing operations to isolate the variable.

Maintaining Equality

Maintaining equality is a fundamental principle when solving equations. It ensures that any operation performed on one side of the equation is also performed on the other side, thus preserving the balance and validity of the equation.

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