5/x -3/y =1 , 3/2x +2/3y =5
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x = 1/2 & y = 1/3 if 5/x -3/y =1 , 3/2x +2/3y =5
Step-by-step explanation:
5/x - 3/y = 1
=> 5y - 3x = xy
3/2x + 2/3y = 5
multiplying by 6xy both sides
=> 9y + 4x = 30xy
=> 9y + 4x = 30(5y - 3x)
=> 9y + 4x = 150y - 90x
=> 94x = 141y
=> 2x = 3y
9y + 4x = 30xy
9y + 2(3y) = 15(3y)y
=> 15y = 15 * 3 y * y
=> y = 1/3
2x = 3y
=> 2x = 1
=> x = 1/2
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