Remove the decimals in the first equation by multiplying
all the terms by 10

 becomes:

 which becomes:



Since the second one has a fraction, change the decimals
0.5 to 

 becomes:



Now multiply through by LCD = 46

, which becomes:



Now the system is:



To eliminate the y-terms, multiply the first
equation through by 23 and the second equation through by 2



Add the two equations together term by term and 
you see the y-terms's cancel out:


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




The fraction will reduce by dividing top and bottom by 5



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Since x is such an ugly looking fraction, do not
substitute it into one of the equations as you
normally do when the solution to the first variable 
is a whole number.  

Instead, go back to this sytem and eliminate the x-terms:



To eliminate the x-terms do, multiply the first equation 
through by 23 and the second equation through by -3



Add the two equations together term by term and 
you see the x-terms's cancel out:



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




The fraction will reduce by dividing top and bottom by 5



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

So the solution is an ordered pair of ugly looking fractions:

(x,y) = (, )

Edwin