Question

Solve the simultaneous equations :
101x + 99y = 501 ; 99x + 101y = 499

Answer 1

Answer:

use hit and trial method

Answer 2

Step-by-step explanation:

99x + 101y = 499 … (1)

101x + 99y = 501 … (2)

Adding equations (1) and (2), we get.

200x + 200y = 1000

Or, x + y = 5 … (3)

Subtracting (1) from (2), we get,

2x - 2y = 2

Or, x - y = 1 … (4)

Adding (3) and (4), we get,

2x = 6  x = 3

Putting the value of x in (3), we get,

y = 2