SOLUTION: solve by elimination 5x + 6y=2 10x+ 12y=4

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Question 557484: solve by elimination
5x + 6y=2
10x+ 12y=4
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%285x%2B6y=2%2C10x%2B12y=4%29


-2%285x%2B6y%29=-2%282%29 Multiply the both sides of the first equation by -2.


-10x-12y=-4 Distribute and multiply.


So we have the new system of equations:
system%28-10x-12y=-4%2C10x%2B12y=4%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:


%28-10x-12y%29%2B%2810x%2B12y%29=%28-4%29%2B%284%29


%28-10x%2B10x%29%2B%28-12y%2B12y%29=-4%2B4 Group like terms.


0x%2B0y=0 Combine like terms.


0=0Simplify.


Since 0=0 is always true, this means that there are an infinite number of solutions.


So the system is consistent and dependent.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim