SOLUTION: solve the following system of equatiuons x+3y=5 x=6-3y

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Question 146579: solve the following system of equatiuons
x+3y=5
x=6-3y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
x%2B3y=5
x=6-3y



6-3y%2B3y=5 Plug in x=6-3y into the first equation. In other words, replace each x with 6-3y. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.


6=5 Combine like terms on the left side


0=5-6Subtract 6 from both sides


0=-1 Combine like terms on the right side


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