SOLUTION: Explain how to apply elimination in solving a system of equations. a. Explain how to apply substitution in solving a system of equations. b. Demonstrate each technique in solvin

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Question 169709This question is from textbook elementary and Intermediate algebra concepts and application
: Explain how to apply elimination in solving a system of equations.
a. Explain how to apply substitution in solving a system of equations.
b. Demonstrate each technique in solving the system
3x + 9y = 12
5x - 4y = 3
This question is from textbook elementary and Intermediate algebra concepts and application

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Explain how to apply elimination in solving a system of equations.
a. Explain how to apply substitution in solving a system of equations.
b. Demonstrate each technique in solving the system


By elimination:

First eliminate  and find .
Multiply the first equation through by  
and the second equation through by :



Now add vertically term by term:



Divide both sides by 





----



Next eliminate  and find .
Multiply the first equation through by 
 and the second equation through 
by :



Now add vertically term by term:



Divide both sides by 





Solution:   

-------------------

Now do the same problem from scratch using
substitution:



Solve the first equation for :



Add  to both sides:



Divide through every term by 3:



Simplify:



Substitute  for 
in the second equation:



Distribute:


Add  to both sides:


Divide both sides by 



Now substitute  for 
in



Write the  as  and 
write the  as 




The LCD is 
Multiply the  by 





Solution:  

Edwin

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