SOLUTION: Solve by elimination method 3x+4y=2 6x+8y=4

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Question 236568: Solve by elimination method
3x+4y=2
6x+8y=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%283x%2B4y=2%2C6x%2B8y=4%29


-2%283x%2B4y%29=-2%282%29 Multiply the both sides of the first equation by -2.


-6x-8y=-4 Distribute and multiply.


So we have the new system of equations:
system%28-6x-8y=-4%2C6x%2B8y=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:


%28-6x-8y%29%2B%286x%2B8y%29=%28-4%29%2B%284%29


%28-6x%2B6x%29%2B%28-8y%2B8y%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.