Question

cho a+5/a-5=b+6/b-6. CMR a/b=5/6

Answer 1

Ta có: \(\dfrac{a+5}{a-5}\)=\(\dfrac{b+6}{b-6}\) --->\(\dfrac{a-5+5+5}{a-5}\)=\(\dfrac{b-6+6=6}{b-6}\)

\(\dfrac{\left(a-5\right)+10}{a-5}\)= \(\dfrac{\left(b-6\right)+12}{b-6}\)--> 1+\(\dfrac{10}{a-5}\)=1+\(\dfrac{12}{b-6}\)

---> \(\dfrac{10}{a-5}\)= \(\dfrac{12}{b-6}\)---> \(\dfrac{b-6}{a-5}\)=\(\dfrac{12}{10}\)=\(\dfrac{6}{5}\)

--> 5.( b-6)= 6.(a-5) ---> 5b- 30= 6a- 30

---> 5b = 6a--->\(\dfrac{a}{b}\) =\(\dfrac{5}{6}\)( Đpcm)

Tick cho mik nha!!

Answer 2

k có cách làm ngắn hơn nek