1/3x+1/5y=1/15;1/2x+1/3y=1/12
Solve this Simultaneous equation..
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Answer:
x = 2 , y = 2
Step-by-step explanation:
1/3x+1/5y=1/15 ; 1/2x+1/3y=1/12
(3x+5y) / 15xy =1/15 ; (2x + 3y) / 6xy = 1/12
15(3x + 5y) = 15xy ; 12(2x + 3y) = 6xy
3x + 5y = xy - (1) ; 4x + 6y = xy - (2)
(1)×4 => 12x + 20y = 4xy
(2)×3 => 12x + 18y = 3xy
( - )
____________
2y = xy
x = 2
subtituting x = 2 in - (1)
3(2) + 5y = 2y
5y - 2y = 6
3y = 6
y = 2
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