Question

1919x - 1920y = 1917,
1920x - 1919y = 1922.
Find x and y. ​

Answer 1

Answer:

let,

1919x-1920y = 1917........1

1920x-1919y =1922.........2

adding equation 1 and 2

1919x - 1920y = 1917

1920x - 1919y = 1922

______________________

3839x - 3839y = 3839

dividing equation by 3839, we get,

x - y = 1.........3

subtracting equation 1 from 2

1920x - 1919y = 1922

1919x - 1920y = 1917

-______+_________-______

x + y = 5................4

adding equation 3 and 4, we get ,

x - y = 1

x+y= 5

_______

2x = 6

x = 3

substituting x=3 in equation 3

x - y= 1

3 - y=1

-y=1 - 3

-y= -2

y=2

(x,y) = (3,2)

Answer 2

Answer:

1919x-1920y = 1917........1

1920x-1919y =1922.........2

adding equation 1 and 2

1919x - 1920y = 1917

1920x - 1919y = 1922

______________________

3839x - 3839y = 3839

dividing equation by 3839, we get,

x - y = 1.........3

subtracting equation 1 from 2

1920x - 1919y = 1922

1919x - 1920y = 1917

-______+_________-______

x + y = 5................4

adding equation 3 and 4, we get ,

x - y = 1

x+y= 5

_______

2x = 6

x = 3

substituting x=3 in equation 3

x - y= 1

3 - y=1

-y=1 - 3

-y= -2

y=2

(x,y) = (3,2)

Step-by-step explanation: