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Question

The value of x and y in the following equation :
(5330)x+(1425)y=(50)x+(15)y

A
(x,y)=(7,6)
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B
(x,y)=(6,7)
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C
(x,y)=(7,8)
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D
(x,y)=(8,7)
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Solution

The correct option is B (x,y)=(6,7)
(5330)x=5×x3+3×x2+3×x=5x3+3x2+3x(1425)y=1×y3+4×y2+2×y+5=y3+4y2+2y+5(50)x=5×x=5x(15)y=1×y+5=5+yPutting values from given options,x=6andy=7satisfies given relation(x,y)=(6,7)

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