Question

99x + 101y = 499 ; 101x + 99y = 501​

Answer 1

Answer:

99x + 101y = 499 ; 101x + 99y = 501

Step-by-step explanation:

Given equation are

99x+101y=499−−−(1)

101x+99y=501−−−(2)

Adding (1) and (2)

200x+200y=1000

∴ x+y=5−−−(3)

Subtracting (1) from (2)

2x−2y=2

∴ x−y=1−−−(4)

Adding (3) and (4)

2x=6 ∴

x=3

Putting x=3 in equation (4)

3−y=1

∴ y=2

∴ y=2,x=3