Solve each equation, if possible. (5)/(6)(1-x)=-x+1 |...

Name: Problem 57, Chapter 2: Elementary and Intermediate Algebra
Uploaded: 2020-03-27T21:38:17-08:00
Duration: 2 min 2 s
Channel: Eva R
Description: Solve each equation, if possible. (5)/(6)(1-x)=-x+1

Key Concepts

Combining Like Terms and Isolating the Variable

Combining like terms means simplifying an equation by adding or subtracting terms that have the same variable component. After combining like terms, isolating the variable is achieved by performing inverse operations to get the unknown variable by itself on one side of the equation, which is the key step towards finding the solution.

Clearing Fractions

Clearing fractions involves eliminating fractional coefficients by multiplying every term in the equation by a common denominator. This step simplifies the equation, reduces the risk of errors when combining like terms, and makes the process of isolating the variable more straightforward.

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. These equations are of first degree, meaning the variable is raised only to the power of one, and can typically be solved by isolating the variable on one side of the equation using inverse operations.

Distributive Property

The distributive property is a fundamental algebraic rule which states that a factor multiplied by a sum or difference can be distributed to each term inside the parentheses. This property is used to expand expressions and simplify equations, making it easier to combine like terms and isolate variables.

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