Problem 48 Solve. Be sure to check. $$ ... [FREE SOLUTION]

91影视

Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 1: Problem 48

Solve. Be sure to check. $$ 9281=8322+t $$

Short Answer

Expert verified

t = 959

Step by step solution

Isolate the variable t

To find the value of t, we need to isolate it on one side of the equation. Start by subtracting 8322 from both sides of the equation.

Perform the subtraction

Now subtract 8322 from 9281 on the left side of the equation. This can be written as follows: 9281 - 8322 = t

Simplify the result

Calculate the difference: 9281 - 8322 = 959. This gives us: t = 959

Verify the solution

Substitute the value of t back into the original equation to ensure it holds true: 8322 + 959 = 9281. Since this statement is true, the solution is verified.

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

When solving linear equations, the first step is to isolate the variable. This means getting the variable (in this case, $ t $) by itself on one side of the equation.

Here's how you can do it:

Identify the term with the variable. Here, the equation is $ 9281 = 8322 + t $.
To isolate $ t $, you need to get rid of $ 8322 $ on the right side.
You can do this by performing the opposite operation of addition鈥攕ubtraction.

So, subtracting $ 8322 $ from both sides gives us:
$ 9281 - 8322 = t $.
Now, $ t $ is isolated and we can move on to the next step.

Perform the Subtraction

Performing the subtraction is crucial in solving the equation. Let's break it down into steps.

Here鈥檚 what you should do:

Write down the subtraction you need to perform: $ 9281 - 8322 $.
Calculate the difference. Start from the rightmost digits, just like in basic arithmetic.

When you subtract $ 8322 $ from $ 9281 $, you get:
$ 9281 - 8322 = 959 $.
So, $ t = 959 $.
This provides us with the value of $ t $. Now let's make sure it's correct by verifying our solution.

Verify the Solution

Verifying your solution is a crucial step in solving equations. It ensures that the value you found for $ t $ is correct.

Follow these steps to verify:

Substitute $ t = 959 $ back into the original equation.
The original equation is $ 9281 = 8322 + t $.
Replace $ t $ with $ 959 $: $ 9281 = 8322 + 959 $.
Add $ 8322 + 959 $.

When you calculate it, you get:
$ 8322 + 959 = 9281 $.
Since both sides of the equation are equal, the solution is verified.
This confirms that $ t = 959 $ is indeed the correct solution.

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

Solve. Be sure to check. $$ 9281=8322+t $$

Short Answer

Step by step solution

Isolate the variable t

Perform the subtraction

Simplify the result

Verify the solution

Key Concepts

Isolate the Variable

Perform the Subtraction

Verify the Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Logic and Functions

Calculus

Statistics

Discrete Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.