Question

Please solve this screenshot ​

Answer 1

• Step-by-step explanation:
• x+y/xy=2 , x-y/xy=6
• x+y=2xy------1 , x-y=6xy--------2
• x+y/2=xy , x-y/6=xy
• as the rhs is equal we can write the equation as follow
• x+y/2=x-y/6
• 6(x+y)=2(x-y)
• 6x+6y=2x-2y
• 6x-2x= -6y-2y
• 4x= -8y
• x= -8y/4
• x=-2y-----------------3
• substituting equation 3 in equation 1and we get, (-2y)+y=2(-2y)(y)

$( - 2y) + y = - 4y {}^{2}$

• $- y = - 4y {}^{2}$
• -y/y^2=-4
• 1/y=4
• 1/4=y----------4
• substituting 1/4=y in equation 3
• we get, x= -2(1/4)
• x= -1/2
• we get the solutions x= -1/2 ,y= 1/4

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Answer 2

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