Vx is slower than Vy. Climbing at Vx allows pilots to maximize the altitude gain per unit ground distance. That is, Vx allows pilots to maximize their climb while sacrificing the least amount of ground distance. This occurs at the speed for which the difference between thrust and drag is the greatest (maximum excess thrust).
At some point, available thrust decreases, then Vx and Vy must converge at the absolute ceiling. The turbojet, operating on excess air, can dump in more fuel to power its compressor and maintain thrust a little longer, but it too reaches a point where thrust begins to drop off, and Vx and Vy converge.
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difference between vx and vy