College

We appreciate your visit to Which could be the resulting equation when elimination is used to solve the given system of equations tex begin array l 5a 5b 25 5a. 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!

Which could be the resulting equation when elimination is used to solve the given system of equations?

[tex]
\[
\begin{array}{l}
5a + 5b = 25 \\
-5a + 5b = 35
\end{array}
\]
[/tex]

Possible resulting equations:

A. [tex]10a = 60[/tex]

B. [tex]10b = 60[/tex]

C. [tex]-10b = 60[/tex]

Answer :

To solve the given system of equations using the elimination method, follow these steps:

1. Write down the system of equations:
[tex]\[
\begin{align*}
5a + 5b &= 25 \\
-5a + 5b &= 35
\end{align*}
\][/tex]

2. Add the equations to eliminate one of the variables:

When you add the two equations together, you're aiming to eliminate the variable 'a'. Here's how it works:

[tex]\[
(5a + 5b) + (-5a + 5b) = 25 + 35
\][/tex]

3. Simplify the left side of the equation:

- Combine like terms:
[tex]\[
5a - 5a + 5b + 5b = 0a + 10b
\][/tex]

- The resulting equation is:
[tex]\[
10b = 60
\][/tex]

Thus, the resulting equation after using elimination is [tex]\(10b = 60\)[/tex].

Thanks for taking the time to read Which could be the resulting equation when elimination is used to solve the given system of equations tex begin array l 5a 5b 25 5a. 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