SOLUTION: Solve by the substitution method 2x+5y=3 X=9-5y

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Question 197357: Solve by the substitution method
2x+5y=3
X=9-5y

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system
2x%2B5y=3
x=9-5y



2%289-5y%29%2B5y=3 Plug in x=9-5y into the first equation. In other words, replace each x with 9-5y. Notice we've eliminated the x variables. So we now have a simple equation with one unknown.


18-10y%2B5y=3 Distribute


-5y%2B18=3 Combine like terms on the left side


-5y=3-18Subtract 18 from both sides


-5y=-15 Combine like terms on the right side


y=%28-15%29%2F%28-5%29 Divide both sides by -5 to isolate y



y=3 Divide




Now that we know that y=3, we can plug this into x=9-5y to find x



x=9-5%283%29 Substitute 3 for each y


x=9-15 Multiply


x=-6 Subtract


So our answers are x=-6 and y=3 which form the ordered pair