Question

Solve for x and y
101X + 99 y= 499
99x + 101y=501​

Answer 1

Step-by-step explanation:

101X + 99 y= 499 .....(i)

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

Adding (I) and (ii)

200x + 200y = 1000

200(x+y)= 1000

x+y= 5 .......(3)

Subtracting (ii) from (I)

2x-2y= -2

2(x-y)= -2

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

Adding (3) and (4) we get

x+y + x-y = 1000 -1

2x = 999

x = 999/2

now put the value x in (4) find the value of y

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Answer 2

solution

x=?, y=?

x=2,y=3