Solve 99x+101y = 499,101x+99y = 501

Answers (1)

99x+101y = 499...(i)

101x+99y = 501...(ii)

Equation (i) - Equation (ii)

99 x + 101 y - 101 x - 99y = 499 - 501

2y - 2x = -2

x - y =1...(iii)

Equation (i) + Equation (ii)

99 x + 101 y + 101 x + 99y = 499 + 501

200(x+y) = 1000

x + y = 5 ...(iv)

Equation (iii) + Equation (iv)

x -y + x + y = 1+ 5

2x = 6

x = 3

y = 2

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