Question

49x-57y=172;57x-49y=252​

Answer 1

Answer:

Solution :-

✪ 49x - 57y = 172 and 57x - 49y = 252 by elimination method.

49x - 57y = 172 . . . . . (1)

57x - 49y = 252 . . . . . (2)

❖ Multiply equation (1) by 57, and (2) by 49, we get

2793x - 3249y = 9804 . . . . (3)

2793x - 2401y = 12348 . . . . (4)

✯ Adding (3) and (4) we get,

2793x - 3249y = 9804

2793x - 2401y = 12348

(-) (+) (-)

_____________________

- 848y = - 2544

y = - 2544/- 848

y = 3

✵ Substituting the value of y = 3 in equation (1) we get,

✮ 49x - 57y = 172

➾ 49x - 57(3) = 172

➾ 49x - 171 = 172

➾ 49x = 172 + 171

➾ 49x = 343

➾ x = 343/49

➾ x = 7

∴ The value of x = 7, y = 3 is the solution of the system of the given equations.