SOLUTION: Solve the system of equations x + y = 6 x - y = -9

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Question 530986: Solve the system of equations
x + y = 6
x - y = -9

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:



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





Group like terms.


Combine like terms.


Simplify.


Divide both sides by to isolate .


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


Now go back to the first equation.


Plug in .


Multiply both sides by the LCD to clear any fractions.


Distribute and multiply.


Add to both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


So the solutions are and .


Which form the ordered pair .


This means that the system is consistent and independent.


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

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