Answer :
To solve the given system of equations using the elimination method, we want to eliminate one of the variables by either adding or subtracting the equations. Let's take a look at the system:
1. [tex]\(5a + 5b = 25\)[/tex]
2. [tex]\(-5a + 5b = 35\)[/tex]
To use elimination, we'll add these two equations together:
[tex]\[
(5a + 5b) + (-5a + 5b) = 25 + 35
\][/tex]
This simplifies to:
[tex]\[
5a - 5a + 5b + 5b = 60
\][/tex]
Notice that the [tex]\(5a\)[/tex] and [tex]\(-5a\)[/tex] terms cancel each other out:
[tex]\[
0 + 10b = 60
\][/tex]
So, we get the resulting equation:
[tex]\[
10b = 60
\][/tex]
Therefore, the correct answer is [tex]\(10b = 60\)[/tex].
1. [tex]\(5a + 5b = 25\)[/tex]
2. [tex]\(-5a + 5b = 35\)[/tex]
To use elimination, we'll add these two equations together:
[tex]\[
(5a + 5b) + (-5a + 5b) = 25 + 35
\][/tex]
This simplifies to:
[tex]\[
5a - 5a + 5b + 5b = 60
\][/tex]
Notice that the [tex]\(5a\)[/tex] and [tex]\(-5a\)[/tex] terms cancel each other out:
[tex]\[
0 + 10b = 60
\][/tex]
So, we get the resulting equation:
[tex]\[
10b = 60
\][/tex]
Therefore, the correct answer is [tex]\(10b = 60\)[/tex].
