Tuesday, April 30, 2013

Solve by elimination method 3x-5y=1 6x-10y=4


Solve by elimination method:
3x-5y=1
6x-10y=4


Solution:


3x-5y=1
6x-10y=4 

First we solve for x in the first equation
3x=1%2B5x 
x=%281%2B5y%29%2F3 
The second equation,
6x-10y=4
becomes... 
6%28%281%2B5y%29%2F3%29-10y=4
which we simplify as follows... 
2%281%2B5y%29-10y=4
2%2B10y-10y=4
2=4 
this clearly a contradiction. This contradiction tells us that our system has no solution. (Whenever we arrive at a contradiction after following the solution method correctly we know that the system has no solution. If we arrive at an identity we know that the lines are coincident)

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