SOLUTION: I'm not sure how to solve this simultaneous second-degree equation. xy=1/12 y+x=7xy

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Question 867612: I'm not sure how to solve this simultaneous second-degree equation.
xy=1/12
y+x=7xy
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
More than one way are possible.

y%2Bx=7%281%2F12%29
x%2By=7%2F12
y=7%2F12-x.
Other equation,
xy=1%2F12
x%287%2F12-x%29=1%2F12
%287%2F12%29x-x%5E2=1%2F12
7x-12x%5E2=1
-12x%5E2%2B7x-1=0
12x%5E2-7x%2B1=0
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x=%287%2B-+sqrt%2849-4%2A12%2A1%29%29%2F24
x=%287%2B-+1%29%2F24
x=1%2F4 OR x=1%2F3;
correspondingly, y=1%2F%2812x%29
y=1%2F3 OR y=1%2F4
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The solution points for these two equations are (1/4, 1/3) and (1/3, 1/4).