Question

55x + 67y = 311 and 67x + 55y = 299

Answer 1

Answer:

In which method u need d ans

Elimination or completing square method

Answer 2

Step-by-step explanation:

Let 55x + 67y = 311 - 1

67x + 55y = 299 - 2

Substract eq 1 & 2

55x + 67y = 311

67x + 55y = 299

- - -

_____________

-12x + 12y = 2

Divide above equation by -2

6x - 6y = -1 -3

Add equation 1 & 2

55x + 67y = 311

67x + 55y = 299

+ + +

_____________

122x + 122y = 610

Divide above equation by 122

x + y = 5 - 4

Multiple equation 4 by 6

6x + 6y = 30 - 5

Add equation 3 & 5

6x - 6y = -1

6x + 6y = 30

+ + +

___________

12x = 29

x = 29/12

Put x = 29/12 in equation - 4

x + y = 5

29/12 + y = 5

29 + 12y / 12 = 5

29 + 12y = 60

12y = 60 - 29

12y = 31

y = 31/12

(x,y) = (29/12,31/12)