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Question

If 29x+37y=103 and 37x+29y=95 then

(a) x=1,y=2 (b) x=2,y=1 (c) x=3,y=2 (d) x=2,y=3

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Solution

29x+37y=103(1)37x+29y=95(2)Add (1) and (2)66x+66y=19866(x+y)=198x+y=3(3)Subtract (1) from (2)8x+8y=88(xy)=8xy=1(4)Add (3) and (4)2x=2x=1y=3x=31=2x=1 and y=2


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