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

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

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Distribute

Combine like terms on the left side

Subtract 18 from both sides

Combine like terms on the right side

Divide both sides by -5 to isolate y

Divide

Now that we know that , we can plug this into to find

Substitute for each

Multiply

Subtract

So our answers are and which form the ordered pair

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