SOLUTION: solve the linear system: 3x + 3y= 5 y= -x Please help! thank you

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Question 107912: solve the linear system:
3x + 3y= 5
y= -x
Please help! thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system
3x%2B3y=5
y=-x



3x%2B3%28-x%29=5 Now plug in y=-x. In other words, replace each y with -x. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


3x-3x=5 Multiply


0x=5 Combine like terms on the left side


0=5 Simplify

Since this equation is never true for any x value, this means there are no solutions.

So the system is inconsistent