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



Ans. 12x + 13y = 29 and 13x + 12y = 21 [Given]
Adding the given equations
12x
+
13y
=
29



13x
+
12y
=
21











25x
+
25y
=
50











25(x + y ) = 50
∴ x + y = 50/25
∴ x + y = 2

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