step 1 That's probably we want to solve negative one -third equals x minus three -fifths. Now, in order

-(1)/(3)=x-(3)/(5)

Name: Problem 35, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-12T00:56:16-08:00
Duration: 42 s
Channel: Christopher Stanley
Description: -(1)/(3)=x-(3)/(5)

Key Concepts

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. Understanding linear equations is fundamental in algebra as they are used to model relationships with a constant rate of change.

Isolating the Variable

This concept involves rearranging an equation to express the unknown variable on one side of the equation alone. It is a core technique used in solving equations and helps in determining the specific value of the variable that satisfies the equation.

Fractions

Fractions represent parts of a whole and are an essential component of arithmetic and algebra. Mastering operations with fractions, such as addition, subtraction, multiplication, and division, is critical for solving equations that involve rational numbers.

Common Denominator

In operations involving fractions, especially addition and subtraction, finding a common denominator is necessary to combine the fractions effectively. This concept ensures that fractions are expressed in a comparable form, facilitating accurate arithmetic manipulation.

Properties of Equality

The properties of equality, such as the addition property and the subtraction property of equality, allow one to perform the same operation on both sides of an equation without changing its balance. These properties are essential tools in the process of solving equations.

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