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lets assume at the starting point there are two observers (coordinates (x,y,z,t)).

one observer moves in the x direction and the other observer stays still. the observer that moves has the coordinates of x',y',z',t' at any time.

the stationary observer sees an object in the x-direction, n units ahead. for the moving observer, at a particular instant of time, he sees it as n-vt ahead, where v is the relative velocity between the two frames of reference, and t is the time elapsed from the start till the instant.

as the coordinates of object are (x+n,y,z,t) or (x'+n-vt,y',z',t')

hence..

x+n = x'+n-vt

x = x' - vt

x' = x + vt

which isnt the result to be arrived at. can someone help me? i tried doing a search but it seems to elementary a problem to feature as a major stumbling block, couldnt find any topics on it. ><