SOLUTION: solve with the elimination method 3x-6y=4 3x-6y=5 The solution is an ordered pair;

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Question 318042: solve with the elimination method
3x-6y=4
3x-6y=5
The solution is an ordered pair;
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system of equations:
system%283x-6y=4%2C3x-6y=5%29


-1%283x-6y%29=-1%285%29 Multiply the both sides of the second equation by -1.


-3x%2B6y=-5 Distribute and multiply.


So we have the new system of equations:
system%283x-6y=4%2C-3x%2B6y=-5%29


Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:


%283x-6y%29%2B%28-3x%2B6y%29=%284%29%2B%28-5%29


%283x%2B-3x%29%2B%28-6y%2B6y%29=4%2B-5 Group like terms.


0x%2B0y=-1 Combine like terms.


0=-1Simplify.


Since 0=-1 is NEVER true, this means that there are no solutions.

So the system is inconsistent.