Question

Solve for x: 99x + 101y = 499 ; 101x + 99y = 501

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

x = 3

Step-by-step explanation:

99x+101y = 499 -> (i)

101x+99y = 501 -> (ii)

Adding eq. i and ii,

200x + 200y = 1000

therefore, X+y= 5 -> (iii)

Subtracting eq. i from ii,

2x - 2y = 2

therefore, x-y= 1

therefore, y = x-1

using eq. iii,

x+(x-1) = 5

2x = 5+1

2x = 6

x = 3