SOLUTION: Solve the system using elimination or substitution. xy=1/6 y+x=5xy

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Question 919867: Solve the system using elimination or substitution.
xy=1/6
y+x=5xy

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Two different substitutions.

y%2Bx=5%281%2F6%29
y%2Bx=5%2F6
-
y=5xy-x
y=5%281%2F6%29-x
y=5%2F6-x
-
highlight%28x%285%2F6-x%29=1%2F6%29
6%2Ax%285%2F6-x%29=6%281%2F6%29
5x-6x%5E2=6
-6x%5E2%2B5x-6=0
highlight%286x%5E2-5x%2B6=0%29
.
...
...!