step 1 Now this problem we have p minus five nines is equal to negative one half and we wish to solve t

P-(5)/(9)=-(1)/(2)

Name: Problem 26, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-12T00:49:31-08:00
Duration: 40 s
Channel: Christopher Stanley
Description: p-(5)/(9)=-(1)/(2)

Key Concepts

Operations with Fractions

Operations with fractions involve performing arithmetic—addition, subtraction, multiplication, and division—when numbers are presented in fractional form. Understanding how to manage fractions is crucial for solving equations that include fractional coefficients or constant terms, as it requires finding common denominators and reducing results to simplest form.

Inverse Operations

Inverse operations are mathematical procedures used to reverse the effect of another operation. In the context of solving equations, inverse operations allow you to eliminate terms attached to the variable. For example, subtracting a number can be undone by adding the same number, making it a key tool in isolating variables.

Linear Equations

A linear equation is an equation of the first degree, meaning that it involves only one variable raised to the power of one. The solution to a linear equation is found by performing operations to isolate the variable, ensuring that both sides remain balanced through equivalent manipulation.

Isolation of the Variable

Isolation of the variable is a fundamental algebraic technique where the goal is to get the unknown variable on one side of the equation by itself. This is typically achieved by performing inverse operations on both sides of the equation, such as adding, subtracting, multiplying, or dividing by the same quantity to maintain equality.

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