Question

Solve ( Find x and y ) 99x + 101y = 499 and 101x + 99y = 501.​

Answer 1

i hope it is correct answer and follow me

Answer 2

Answer:

x = 3 , y = 2

Step-by-step explanation:

given eqn are

99x+101y = 499....(1)

101x+99y = 501.....(2)

adding the given equations

(99+101)x + (101+99)y = 499+501

=> 200(x+y) = 1000

=> x+y = 5...............(2)

substracting from given eqn (2) to eqn (1)

(101-99)x - (99-101)y = 501-499

=> 2(x-y) = 2

=> x-y = 1..................(4)

on adding (3) and (4)

=> 2x = 6

=> x = 3

on substracting from (2) to (1)

=> 2y = 4

=>. y = 2

Therefore x= 3 and y = 2

Hope this helps you