High School

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]

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

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

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

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

Answer :

We start with the system of equations:
[tex]$$
5a + 5b = 25 \\
-5a + 5b = 35
$$[/tex]

Step 1. To eliminate a variable, we add the two equations. Adding the left-hand sides together and the right-hand sides together gives:
[tex]$$
(5a + 5b) + (-5a + 5b) = 25 + 35
$$[/tex]

Step 2. Combine like terms. Notice that the [tex]$5a$[/tex] and [tex]$-5a$[/tex] cancel each other:
[tex]$$
5a - 5a + 5b + 5b = 10b
$$[/tex]
Thus, the left-hand side simplifies to:
[tex]$$
10b
$$[/tex]

On the right-hand side, we have:
[tex]$$
25 + 35 = 60
$$[/tex]

Step 3. Write the resulting equation:
[tex]$$
10b = 60
$$[/tex]

This is the equation obtained after using elimination to solve the given system of equations.

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

Other Questions