Question

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

Answer 1

Answer:

x = 3, y = 2

Step-by-step explanation:

99x + 101y = 499 … (1)

101x + 99y = 501 … (2)

Adding equations (1) and (2), we get.

200x + 200y = 1000

Or, x + y = 5 … (3)

Subtracting (1) from (2), we get,

2x - 2y = 2

Or, x - y = 1 … (4)

Adding (3) and (4), we get,

2x = 6 x = 3

Putting the value of x in (3), we get,

y = 2

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Answer 2

Answer:

99x+101y=499

x=499–101y/99 –––eqn .1

101x+99y=501

by eqn.1

101(499–101y/99) + 99y=501

50399–10201y/99 + 99y=501

50399–10201y+9801y/99=501

50399–400y =49599

–400y=49599–50399

–400y=–800

y = +2

so x=499–101y/99

x =499–202/99

x= 297/99

x= +3

so x=3 and y=2