Question

If frac{a}{b} = frac{c}{d}, then prove that frac{a+kc}{b+kd} = frac{a}{b} where k can be all real numbers.

Answer 1

\[\frac{a}{b} = \frac{c}{d}\]

Answer 2

show that \[\frac{a+kc}{b+kd} = \frac{a}{b} \]

Answer 3

I have it

Answer 4

It wasn't really that hard

Answer 5

b(a+kc) = a(b+kd)

ab + bkc = ab + akd

bkc = akd

bc = ad


c/d =a/b

Answer 6

i made this myself too, wooo