Question

1) If 7x + 13y = 27 & 13x + 7y = 33 , then find (x + y).​

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

Answer:

3

Step-by-step explanation:

7x + 13y = 27 ---(1)

13x + 7y = 33 ---(2)

Adding both equation

20x + 20y = 60

20(x+y) = 60

x + y = 3