moneybird
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.



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

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

Hero
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I have it

Hero
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It wasn't really that hard

Hero
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b(a+kc) = a(b+kd)
ab + bkc = ab + akd
bkc = akd
bc = ad
c/d =a/b

Tomas.A
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i made this myself too, wooo