SOLUTION: Solve by the elimination method x+8y=54 -x+9y=48

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Question 145835: Solve by the elimination method

x+8y=54
-x+9y=48
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system
x%2B8y=54
-x%2B9y=48

Add the two equations. Notice that the x terms cancel out.
cross%28x-x%29%2B%288y%2B9y%29=%2854%2B48%29

17y=102 Simplify


y=6 Divide both sides by 17 to isolate y


x%2B8y=54 Go back to the first equation


x%2B8%286%29=54 Plug in y=6


x%2B48=54 Multiply


x=6 Subtract 48 from both sides



So our answers are x=6 and y=6