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Class 12

>>Applied Mathematics

>>Linear Equations

>>Solving a Pair of Linear Equations - Elimination Method

>>If 7x + 13y = 27 and 13x + 7y = 33 , fin

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If 7x+13y=27 and 13x+7y=33, find x+y

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Correct option is A)

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.