Solve. (9)/(2 x-5)=-2

Name: Problem 16, Chapter 11: Prealgebra and Introductory Algebra
Uploaded: 2020-06-24T20:43:05-08:00
Duration: 54 s
Channel: Cory Kuzinski
Description: Solve. (9)/(2 x-5)=-2

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Key Concepts

Rational Equations

Rational equations involve expressions with variables in the denominator and require careful handling. Typically, one must eliminate fractions by multiplying both sides by the common denominator while remembering to check for values that might make any denominator zero.

Domain Restrictions

When working with equations that have variables in the denominator, it is vital to consider the domain of the function. This means identifying and excluding any values that would result in a denominator being zero, as these values are not allowed in the solution set.

Multiplication Property of Equality

The multiplication property of equality allows for both sides of an equation to be multiplied by the same nonzero quantity without changing the equality. This is particularly useful in eliminating fractions and transforming the equation into a simpler format.

Linear Equations

After eliminating the fractions, many rational equations reduce to linear equations, which involve first-degree terms. Solving linear equations involves isolating the variable on one side using basic algebraic operations such as addition, subtraction, multiplication, and division.

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