Question

x-1/2005=3-y/2006 và x-y = 4009

Answer 1

\(\dfrac{x-1}{2005}=\dfrac{3-y}{2006}\)

Áp dụng t/c dãy tỉ số bằng nhau:

\(\dfrac{x-1}{2005}=\dfrac{3-y}{2006}=\dfrac{x-1+3-y}{2005+2006}=\dfrac{x-y+2}{4011}=\dfrac{4009+2}{4011}=\dfrac{4011}{4011}=1\)

Với \(\dfrac{x-1}{2005}=1\Rightarrow x-1=2005\Rightarrow x=2006\)

\(\dfrac{3-y}{2006}=1\Rightarrow3-y=2006\Rightarrow y=-2003\)

Vậy x = 2006, y = -2003