Question

If 14x +15y =63 and
and 15 x + 14y = 53 find x +y​

Answer 1

Given :

14x + 15y = 63 ;

15x + 14y = 53

To Find :

x + y

Solution :

Adding given equations,

⠀ ⠀14 x + 15 y = 63

+

⠀⠀ 15 x + 14 y = 53

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⠀⠀ 29 x + 29 y = 116

➳ x + y = 4 (dividing whole equation by ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ '29')

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The value of 'x + y ' is '4'

Answer 2

14x+15y=63

+

15x+14y=53

=29x+29y=116

we get x plus y =4 by dividing whole equation by 29.