Question

If 19x - 17 y = 55 and 17x - 19y = 53, then the value of x-y is:
(b) - 3
(c)3
(d) 5​

Answer 1

$\bf\large\underline\pink{Answer:-}$

(19x - 17y) +(17x-19y) =55 + 53

36x - 36y = 108

x-y=3.....(1)

now,

(19x - 17y) - (17x-19y) =55 - 53

2x + 2y =2

x+y=1....(2)

from (1)+(2)=>2x=4

=>x=2

therefore y =-1 ....(from 1)

Answer 2

Answer:

c)3

Step-by-step explanation:

19x  -17y= 55

multiplying 17 on both side

323x - 289y = 935 .......................(1)

17x-19y= 53

multiplying 19 on both side

323x - 361y = 1007 ......................(2)

(1)-(2),

72y= -72

y=-1

and x=2

Therefore x-y= 2-(-1)= 3