7a +13b = 27 ; 13a + 7 b= 33 equation
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7x+13y=27....(i)
13x+7y=33....(ii)
Multiplying by 13 and 7 in equation (i) and (ii) respectively, we get
91x+169y=351
−
9
1x
−
+
49y=
−
2
31
120y=120
y=1
Put the value of y in equation (i), we get
7x+13×1=27
⇒7x=27−13
⇒7x=14
⇒x=2
Then x+y=2+1=3.
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