SOLUTION: solve by elemination method: 5/2x+5/3y=25 1/4x+1/3y=3

Question 30107: solve by elemination method:
5/2x+5/3y=25
1/4x+1/3y=3
Answer by Fermat(136) (Show Source): You can put this solution on YOUR website!
(5/2)x + (5/3)y = 25
(1/4)x + (1/3)y = 3
To simplify some of the working, multiply the 1st eqn by 6 (LCM of 2 and 3) and multiply the 2nd eqn by 12 (LCM of 4 and 3) to give
15x + 10y = 150
3x + 4y = 36
multiply the 2nd eqn by 5,
15x + 10y = 150
15x + 20y = 180
subtract the 1st eqn from the 2nd, to eliminate the x-variable giving,
10y = 30
y = 3
=====
now substitute for y = 3 into the eqn. 3x + 4y = 36
3x + 12 = 36
3x = 24
x = 8
=====
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