Question

99x+101y=499;101x+99y=501 by elimination method

Answer 1

Step-by-step explanation:

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

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

by adding (1) and (2),we get

200x+200y=1000

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

by subtracting (1) and (2), we get

-2x+2y=-2

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

by adding (3) and (4),we get

x+y=5

x-y=1

----------

2x=6

x=3

x+y=5

3+y=5

y=5-3

y=2

x=3 and y=2