Question

find X and y , 5/x - 3/y = 1 , 3/2x + 2/3y = 5 x is not equal to 0 and y is the not equal to 0.
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Answer 1

Answer:

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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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