SOLUTION: I am stuck on the Elimination Method using fractions. 1/3x + 1/5y = 7, 1/6x - 2/5y = -4

Algebra ->  Equations -> SOLUTION: I am stuck on the Elimination Method using fractions. 1/3x + 1/5y = 7, 1/6x - 2/5y = -4      Log On


   

Question 907249: I am stuck on the Elimination Method using fractions. 1/3x + 1/5y = 7, 1/6x - 2/5y = -4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29x+%2B+%281%2F5%29y+=+7
%281%2F6%29x+-+%282%2F5%29y+=+-4
Multiply the first equation by 2 and add to the second.
%282%2F3%29x%2B%282%2F5%29y%2B%281%2F6%29x-%282%2F5%29y=14-4
%282%2F3%2B1%2F6%29x=10
%284%2F6%2B1%2F6%29x=10
%285%2F6%29x=10
x=10%286%2F5%29
x=12
Then use either equation to solve for y.
%281%2F3%29%2812%29%2B%281%2F5%29y=7
4%2B%281%2F5%29y=7
%281%2F5%29y=3
y=15