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Question

Solve for x and y:mxny=m2+n2 and x+y=2m.

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Solution

mxny=m2+n2
mx+my=2m2
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¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯myny=m2+n22m2(x+y=2m)×m

y=(n2m2)m+ny=(m2n2m+n)=(m+n)(mn)(m+n)

y=mn

Substitute 'y' in equaltion x+y=2m

x=2mm+n

x=m+n

(x,y)=[m+n,mn]

1048204_1038079_ans_691f2fb75118448a8025e4e11fba1d87.jpg

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