Question

Chứng minh rằng nếu a-x/b-y = a/b thì x/y = a/b

Answer 1

Theo đề bài, ta có :

a - x/b - y = a/b

=> (a - x)b = (b - y)a

=> ab - xb = ba - ya

=> xb = ya

=> x/y = a/b

Vậy nếu a - x/b - y = a/b thì x/y = a/b (ĐPCM).

Answer 2

\(\frac{a-x}{b-y}=\frac{a}{b}\)

\(\Rightarrow\left(a-x\right)b=\left(b-y\right)a\)

\(\Rightarrow ab-xb=ba-ya\)

\(\Rightarrow xb=ya\)

\(\Rightarrow\frac{x}{y}=\frac{a}{b}\)

Answer 3

A=71.52+53/530.71-180