Question

If 12x +13y =29 and 13x +12y=21, find x + y.

Answer 1

The given equations are

12x+13y=29…(i)

13x+12y=21…(ii)

Add (i) and (ii), we get

12x + 13y =29

13x + 12y =21

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25x + 25y =50

25(x+y) = 50

x + y = 2