Find x and y , given that (5x+y,3x-y) = (2,2x) belong to Q*Q?
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Expert's answer
2018-03-15T08:07:08-0400
If (5x+y, 3x-y)=(2,2х) Then 5x+y=2 (1) and 3x-y=2x (2) Solving (2): 3x-y=2x 3x-2x=y x=y Given x=y we can substitute y for x in (1): 5x+x=2 6x=2 x=2/6=1/3 As x=y => x=y=1/3 Answer: (1/3,1/3)
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