We appreciate your visit to Which could be the resulting equation when elimination is used to solve the given system of equations tex begin cases 5a 5b 25 5a 5b. 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!
Answer :
To solve the given system of equations by elimination, we will follow these steps:
1. Write Down the Given System of Equations:
[tex]\[
\begin{align*}
5a + 5b &= 25 \quad \text{(Equation 1)} \\
-5a + 5b &= 35 \quad \text{(Equation 2)}
\end{align*}
\][/tex]
2. Add the Two Equations:
By adding Equation 1 and Equation 2, you can eliminate the variable [tex]\(a\)[/tex] because their coefficients are opposites:
[tex]\[
\begin{align*}
(5a + 5b) + (-5a + 5b) &= 25 + 35 \\
5a + 5b - 5a + 5b &= 60 \\
10b &= 60
\end{align*}
\][/tex]
3. Resulting Equation:
The resulting equation is:
[tex]\[
10b = 60
\][/tex]
Therefore, after using the elimination method, we obtain the equation [tex]\(10b = 60\)[/tex]. This equation indicates the relationship of the variable [tex]\(b\)[/tex] in the given system of equations when [tex]\(a\)[/tex] is eliminated.
1. Write Down the Given System of Equations:
[tex]\[
\begin{align*}
5a + 5b &= 25 \quad \text{(Equation 1)} \\
-5a + 5b &= 35 \quad \text{(Equation 2)}
\end{align*}
\][/tex]
2. Add the Two Equations:
By adding Equation 1 and Equation 2, you can eliminate the variable [tex]\(a\)[/tex] because their coefficients are opposites:
[tex]\[
\begin{align*}
(5a + 5b) + (-5a + 5b) &= 25 + 35 \\
5a + 5b - 5a + 5b &= 60 \\
10b &= 60
\end{align*}
\][/tex]
3. Resulting Equation:
The resulting equation is:
[tex]\[
10b = 60
\][/tex]
Therefore, after using the elimination method, we obtain the equation [tex]\(10b = 60\)[/tex]. This equation indicates the relationship of the variable [tex]\(b\)[/tex] in the given system of equations when [tex]\(a\)[/tex] is eliminated.
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 cases 5a 5b 25 5a 5b. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
