Question

99x+101y=499; 101x+99y=501
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Answer 1

Answer:

x=3   y=2

Step-by-step explanation:

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

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

Adding (i) and (ii)

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

200x+200y=1000

x+y=5---------(iii)

Subtracting (i) from (ii)

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

2x-2y=2

x-y=1 ----------(iv)

Adding (iii) and (iv)

x+y+x-y=5+1

2x=6

x=3

Substituting x=3 in (iii)

3+y=5

y=2