Question

please answer this
101
$101x + 99y = 501 \\ 99x + 101y = 499$
please answer this
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Answer 1

Answer:

101x+99y=501.

-99x+101y=499.

2x-2y=2.

2(x-y)=2.

x-y=1.

101x+99y=501.

+99x+101y=499.

200x+200y=1000.

200(x+y)=1000.

x+y=5.

x-y=1.

-x+y=5.

-2y=-4.

y=2.

x-y=1.

x-2=1.

x=1+2.

x=3.

Answer 2

Answer:

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