SOLUTION: 1/3x+3/4y=2 4/9x-1/4y=4

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 1/3x+3/4y=2 4/9x-1/4y=4      Log On


   

Question 1052412: 1/3x+3/4y=2
4/9x-1/4y=4
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.%281%2F3%29x%2B%283%2F4%29y=2
2.%284%2F9%29x-%281%2F4%29y=4
Multiply eq. 2 by 3 and add to eq. 1,
%281%2F3%29x%2B%283%2F4%29y%2B%284%2F3%29x-%283%2F4%29y=2%2B12
%285%2F3%29x=14
x=42%2F5
Then,
%281%2F3%29%2842%2F5%29%2B%283%2F4%29y=2
42%2F15%2B%283%2F4%29y=2
%283%2F4%29y=30%2F15-42%2F15
%283%2F4%29y=-12%2F15
y=-%2812%2F15%29%284%2F3%29
y=-16%2F15