Let y be the difference of two numbers such that one number varies directly as x while the other number varies inversely as x. If y = –7 when x = –2, and y = 5 when x = 1, express y in terms of x.

Let the numbers be a&b Then y=a-b,Let a>b also a=kx,where k is a constant. and

b=lx

b=l−2,y=−7

−7=−2k+l2,or−14=−4k+l...(1)

b=−2x

Hence y=3x+2x

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