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].
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].
