Question

solve: 83x -67y=383 ; 67x-83y=367​

Answer 1

Answer:

Your solution is in above pic.

Answer 2

$\boxed{ \sf \green {Given -}}$

83x - 67y = 383 .......(i)

67x - 83y = 367 ........(ii)

$\boxed{ \sf \green {Solution -}}$

On adding (i) and (ii),

we get

150x - 150y = 750

➪ x-y = 5 ......(iii)

Now,

On subtracting (ii) and (i),

we get

16x + 16y = 16

➪ x + y = 1 ......(iv)

Now,

On adding (iii) and (iv),

we get

2x = 6 ➪ x = 3.

Substituting x = 3 in eq. (iv),

we get

3 + y = 1 ➪ y = -2.

Hence the solution is x = 3, y = -2.