SOLUTION: Solve each system algebraically. Explain why you chose the method you used. x^2-48/9x+1/3y+1/3=0 -5/4x^2-3/2x+1/4y-1/2=0 Thankkk youuu :DDDD

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Question 878182: Solve each system algebraically. Explain why you chose the method you used.
x^2-48/9x+1/3y+1/3=0
-5/4x^2-3/2x+1/4y-1/2=0
Thankkk youuu :DDDD

Found 2 solutions by Edwin McCravy, AnlytcPhil:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Sorry, there is no equal sign in the second one, so it
isn't an equation.  Also there is no x term either but two number
terms, -3/2 and -1/2.  I think you meant one of those to
have an x by it right?  Type it carefully and correctly in the 
thank-you note and I'll get back to you.

Edwin

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
I just guessed and put in an x and an equal sign in the second one.



Reduce the fraction  to 



Multiply the first one through by 3 and the
second one through by 4



Solve each for y:



St the right sides equal

 

Get 0 on the left side:



Factor the right side:



2x-1 = 0;    4x-3 = 0
  2x = 1       4x = 3
   x = ;       x = 
 
Substituting     x =  in













So one solution is (x,y) =       
  
-----

Substituting     x =  in













So the other solution is (x,y) =      

Edwin

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