Solve each equation, if possible. 0.03 x+0.05(6,000-x)=280 |...

Name: Problem 82, Chapter 2: Elementary and Intermediate Algebra
Uploaded: 2020-03-28T20:19:48-08:00
Duration: 2 min 38 s
Channel: Eva R
Description: Solve each equation, if possible. 0.03 x+0.05(6,000-x)=280

Key Concepts

Decimal Arithmetic

Decimal arithmetic involves operations with numbers expressed in decimal notation. It is important in many practical applications where precision is needed. Mastering decimal arithmetic is essential for correctly handling coefficients and constants that are not whole numbers, especially when solving algebraic equations.

Isolation of the Variable

Isolation of the variable is a technique used to solve equations by rearranging the equation so that the variable of interest is on one side of the equation and everything else is on the other. This is achieved through operations such as addition, subtraction, multiplication, or division. It is a central strategy in solving linear equations.

Linear Equations

A linear equation is an equation where the variable or variables are raised only to the first power. Solving a linear equation involves finding the value of these variables that makes the equation true. These equations often represent relationships with a constant rate of change and can be solved using basic algebraic principles.

Distributive Property

The distributive property is a fundamental algebraic principle that allows one to multiply a single term by each term within a set of parentheses. It can be expressed in the form a(b + c) = ab + ac. This property is essential for eliminating parentheses in equations and simplifying expressions to facilitate solving.

Combining Like Terms

Combining like terms is the process of consolidating terms in an algebraic expression that contain the same variables raised to the same power. This step simplifies the expression, making it easier to isolate the variable. It involves adding or subtracting the coefficients of like terms.

Transcript

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