Solve the equation. 15-2 a=7

Name: Problem 33, Chapter 7: Algebra 1: Concepts and Skills
Uploaded: 2020-06-26T19:26:12-08:00
Duration: 1 min 4 s
Channel: Daniel Mcconnell
Description: Solve the equation. 15-2 a=7

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Key Concepts

Maintaining Balance in Equations

The principle of maintaining balance in equations means any operation performed on one side of the equation must also be performed on the other side. This guarantees that the equality is preserved, which is essential when manipulating and solving for variables in any mathematical equation.

Isolating the Variable

Isolating the variable involves rewriting the equation so that the unknown variable appears on one side of the equation by itself. This process typically involves applying inverse operations step-by-step to remove any coefficients and constants that are combined with the variable.

Inverse Operations

Inverse operations are used to reverse steps in an equation, such as using subtraction to undo addition or division to undo multiplication. They are critical in the process of isolating the variable, allowing one to systematically simplify the equation and solve for the unknown.

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable raised to the first power. These types of equations are foundational because they model many real-world situations and are straightforward to solve using basic algebraic techniques.

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