Problem 289 In the following exercises, solv... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 3: Problem 289

In the following exercises, solve for the unknown. $$ n+12=5 $$

Short Answer

Expert verified

The value of $n$ is $-7$.

Step by step solution

Identify the equation

First, take note of the given equation: $n + 12 = 5$

Isolate the variable

To isolate $n$, subtract 12 from both sides of the equation. This helps to get $n$ by itself. $n + 12 - 12 = 5 - 12$

Simplify both sides

Perform the subtraction on both sides: $n = 5 - 12$

Final simplification

Simplify the right-hand side to find the value of $n$: $n = -7$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

isolate the variable

In the given equation, we need to solve for the unknown variable: $n$. Isolating the variable means we want $n$ to be by itself on one side of the equation. This helps us to directly see what $n$ equals.
To achieve this, we need to remove or cancel out any other numbers or terms present with $n$. In our given equation: $n + 12 = 5$, the term we want to remove is $+12$.

We accomplish this by performing an opposite operation, which leads to the next step.

simplify both sides

To simplify both sides of an equation means to make each side as simple as possible by performing the same operation on both sides. This keeps the equation balanced.
In our example: $n + 12 = 5$, we start by isolating $n$ which requires us to eliminate the $+12$.
The opposite of addition is subtraction, so we subtract 12 from both sides:
\ $n + 12 - 12 = 5 - 12$
Simplifying both sides like this is a crucial step because it clears out any unnecessary components, leaving us with a straightforward value or expression to work with.

perform subtraction

Performing subtraction on both sides of the equation helps to isolate the variable. In our equation: $n + 12 = 5$, subtracting 12 from both sides looks like this:
$n + 12 - 12 = 5 - 12$
When we do the subtraction, the left-hand side simplifies to just $n$ because $+12$ and $-12$ cancel each other out. Therefore, we have: \ $n = 5 - 12$
On the right-hand side, we perform the operation 5 minus 12 which gives us -7. So our final simplified equation is: \ $n = -7$.
This means $n$ equals -7, solving our initial equation.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In the following exercises, solve for the unknown. $$ n+12=5 $$

Short Answer

Step by step solution

Identify the equation

Isolate the variable

Simplify both sides

Final simplification

Key Concepts

isolate the variable

simplify both sides

perform subtraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Geometry

Calculus

Decision Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.