x + y =   4 ------- eq (i)

 2x + y =   5 ------- eq (ii)

- x - y = - 4 ------- Multiplying eq (i) by - 1 ------ eq (iii)

      x =   1 ------- Adding eqs (iii) & (ii)



  1 + y = 4 --------- Substituting 1 for x in eq (i)

      y = 4 - 1

      y = 3



You can do the check!! 

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