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Ответ дан
MaxikMK

Решить уравнение.

x + dfrac{1}{9}cdot x = 1dfrac{2}{3};\\1cdot x + dfrac{1}{9}cdot x = dfrac{1*3+2}{3};\\dfrac{9}{9}cdot x + dfrac{1}{9}cdot x = dfrac{5}{3};\\left(dfrac{9}{9} + dfrac{1}{9}right)cdot x = dfrac{5}{3};\\dfrac{10}{9}cdot x = dfrac{5}{3};\\x = dfrac{5}{3}:dfrac{10}{9};\\x = dfrac{5}{3}cdotdfrac{9}{10};\\x = dfrac{3}{2};\\x = 1dfrac{1}{2}.

Ответ: bf x = 1dfrac{1}{2}.

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Ответ дан
maymr

ttdisplaystyle x+frac{1}{9}x=1frac{2}{3}\\\1frac{1}{9}x=frac{1*3+2}{3}\\\frac{1*9+1}{9}x=frac{5}{3}\\\frac{10}{9}x=frac{5}{3}\\\x=frac{5}{3}:frac{10}{9}\\\x=frac{5}{3}*frac{9}{10}\\\x=frac{3}{2}\\\x=1,5

Ответ: 1,5


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