Question

19x-17y= 55; 17x-19y= 33 find the value of x-y

Answer 1

Answer:

x - y = 2.445

Step-by-step explanation:

We Have :-

19x - 17y = 55

17x - 19y = 33

To Find :-

x - y

Solution :-

19x - 17y = 55 -------- ( i )

17x - 19y = 33 -------- ( ii )

[ ( i ) * 19 ] - [ ( ii ) * 17 ]

361x - 323y = 1045

-289x + 323y = -561

_______________

72x = 484

x = 484 / 72

x = 6.721

Putting it in ( i )

19 ( 6.721 ) - 17y = 55

127.699 - 17y = 55

-17y = 55 - 127.699

-17y = -72.699

17 y = 72.699

y = 72.699 / 17

y = 4.276

x - y

6.721 - 4.276

2.445

x - y = 2.445