Question

see the attached file Nd answer ​

Answer 1

Answer:

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

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

Since the LCM of 99 and 101 is 9999, we need multiply (1) by

101 and (2) by 99,

9999x+10201y=50399------(3)

9999x+9801y=49599------(4)

Subtracting (4) from (3),

400y=800

➡y=2

Substituting y=2 in (1),

99x+101(2)=499

99x=499-202

99x=297

➡x=3

Hence,

↪x=3

↪y=2

Answer 2

consider 99x+101y=499_______(1)

            101x+99y=501 ________(2)

multiplying equation (1) by -101 we get

-9999x-10201y=-50,399_________(3)

multiplying equation (2) by 99

9999x+9801y=49,599___________(4)

adding (3) and (4) we get

-400y=-800

y=2

substituting y=2 in equation (1) we get

99x+202=499

99x=499-202

99x=297

x=297/99

x=3

check

99(3)+101(2)=297+202=499

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