solve xy=yx and x2=y3  .

Dear Student,
Please find below the solution to the asked query:

We have:x2=y3y=x23...ixy=yxxx23=x23x xx23=x2x3Take log on both sideslogxx23=logx2x3x23 logx=2x3 logxx23 logx-2x3 logx=0logxx23-2x3=0Whenlogx=0x=100=1y=x23=123=1Whenx23-2x3=0x23=2x3xx23=32x13=32x=323=278y=x23=32323=94Hence required solutions are x,y=1,1 or x,y=278,94

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