College

We appreciate your visit to Name Practice Problem Solving Complete the equations to find the number of solutions 7 Classify the equation tex 33x 99 33x 99 tex as having. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Name:

**Practice & Problem Solving**

Complete the equations to find the number of solutions.

7. Classify the equation [tex]33x + 99 = 33x - 99[/tex] as having one solution, no solution, or infinitely many solutions.

[tex]
\[
\begin{array}{c}
33x + 99 = 33x - 99 \\
33x - \square + 99 = 33x - \square - 99 \\
99 \square - 99
\end{array}
\]
[/tex]

Since 99 is not equal to -99, the equation has no solution.

Answer :

To determine the number of solutions for the equation [tex]\(33x + 99 = 33x - 99\)[/tex], we can follow these steps:

1. Start by simplifying the equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]

2. Subtract [tex]\(33x\)[/tex] from both sides:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
Simplifying both sides results in:
[tex]\[
99 = -99
\][/tex]

3. Analyze the result:
The equation simplifies to [tex]\(99 = -99\)[/tex], which is a contradiction. This means that the left side is not equal to the right side for any value of [tex]\(x\)[/tex].

4. Conclusion:
Since simplifying the equation leads to a contradiction, it indicates that there are no values of [tex]\(x\)[/tex] that can satisfy the equation. Therefore, the equation has no solutions.

Thanks for taking the time to read Name Practice Problem Solving Complete the equations to find the number of solutions 7 Classify the equation tex 33x 99 33x 99 tex as having. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada