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CBSE Class 10 Answered

Solve : 99x + 101y = 499 101x + 99y = 501
Asked by Topperlearning User | 26 Jul, 2017, 10:26: AM
answered-by-expert Expert Answer

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

Answered by | 26 Jul, 2017, 12:26: PM

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