Question

Solve the equations. $$ n+\frac{1}{4}=-\frac{1}{2} $$

   Solve the equations.
$$
n+\frac{1}{4}=-\frac{1}{2}
$$

Prealgebra & Introductory Algebra

Prealgebra & Introductory Algebra

Julie Miller, Molly… 2nd Edition

Chapter 9, Problem 76

Instant Answer

Solved by Expert Erika Bustos

04/03/2022

Step 1

Step 1: Subtract $\frac{1}{4}$ from both sides of the equation: $$ n+\frac{1}{4}-\frac{1}{4}=-\frac{1}{2}-\frac{1}{4} $$ This simplifies to: $$ n=-\frac{1}{2}-\frac{1}{4} $$ Show more…

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Solve the equations. $$ n+\frac{1}{4}=-\frac{1}{2} $$

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Key Concepts

Linear Equations

Linear equations are equations in which the unknown variable is raised to the first power and does not multiply or divide by any other variable. The goal in solving a linear equation is to isolate the variable on one side of the equation using inverse operations while maintaining the equality, which is a foundational concept in algebra.

Operations with Fractions

Operations with fractions involve arithmetic processes such as addition, subtraction, multiplication, and division. When fractions are part of an equation, understanding how to find a common denominator and simplify expressions is crucial to accurately manipulate and solve the equation.

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