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 left begin array r 5a 5b 25. 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]
\[
\left\{
\begin{array}{r}
5a + 5b = 25 \\
-5a + 5b = 35
\end{array}
\right.
\]
[/tex]

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

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

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

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

Answer :

Sure, let's solve this problem step by step without referring to the Python code provided.

We are given the following system of equations:
[tex]\[
\left\{\begin{array}{r}
5a + 5b = 25 \\
-5a + 5b = 35
\end{array}\right.
\][/tex]

To use the elimination method, we'll add the two equations to eliminate the variable [tex]\(a\)[/tex]:

1. Write the equations clearly:
[tex]\[
5a + 5b = 25 \quad \text{(Equation 1)}
\][/tex]
[tex]\[
-5a + 5b = 35 \quad \text{(Equation 2)}
\][/tex]

2. Add Equation 1 and Equation 2:
[tex]\[
(5a + 5b) + (-5a + 5b) = 25 + 35
\][/tex]

3. Combine the like terms:
[tex]\[
(5a - 5a) + (5b + 5b) = 25 + 35
\][/tex]
[tex]\[
0a + 10b = 60
\][/tex]
[tex]\[
10b = 60
\][/tex]

So, the resulting equation when using elimination to solve the given system is:
[tex]\[
10b = 60
\][/tex]

Therefore, the correct answer 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 left begin array r 5a 5b 25. 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