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 using the elimination method, follow these steps:
The system of equations is:
1. [tex]\( 5a + 5b = 25 \)[/tex]
2. [tex]\( -5a + 5b = 35 \)[/tex]
The goal of the elimination method is to add or subtract the equations to eliminate one of the variables. Let's eliminate the variable [tex]\( a \)[/tex].
Step 1: Add the two equations together to eliminate [tex]\( a \)[/tex].
- Equation 1: [tex]\( 5a + 5b = 25 \)[/tex]
- Equation 2: [tex]\( -5a + 5b = 35 \)[/tex]
Add these two equations:
[tex]\[
(5a + 5b) + (-5a + 5b) = 25 + 35
\][/tex]
Step 2: Simplify the resulting equation.
When you add the left-hand sides of the equations, the [tex]\( a \)[/tex] terms ([tex]\( 5a \)[/tex] and [tex]\(-5a\)[/tex]) cancel each other out:
[tex]\[
5a - 5a + 5b + 5b = 10b
\][/tex]
Thus, the resulting equation is:
[tex]\[
10b = 60
\][/tex]
Therefore, using the elimination method, the resulting equation after eliminating [tex]\( a \)[/tex] is [tex]\( 10b = 60 \)[/tex].
The system of equations is:
1. [tex]\( 5a + 5b = 25 \)[/tex]
2. [tex]\( -5a + 5b = 35 \)[/tex]
The goal of the elimination method is to add or subtract the equations to eliminate one of the variables. Let's eliminate the variable [tex]\( a \)[/tex].
Step 1: Add the two equations together to eliminate [tex]\( a \)[/tex].
- Equation 1: [tex]\( 5a + 5b = 25 \)[/tex]
- Equation 2: [tex]\( -5a + 5b = 35 \)[/tex]
Add these two equations:
[tex]\[
(5a + 5b) + (-5a + 5b) = 25 + 35
\][/tex]
Step 2: Simplify the resulting equation.
When you add the left-hand sides of the equations, the [tex]\( a \)[/tex] terms ([tex]\( 5a \)[/tex] and [tex]\(-5a\)[/tex]) cancel each other out:
[tex]\[
5a - 5a + 5b + 5b = 10b
\][/tex]
Thus, the resulting equation is:
[tex]\[
10b = 60
\][/tex]
Therefore, using the elimination method, the resulting equation after eliminating [tex]\( a \)[/tex] 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 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
