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Answer 1

Ответ:

х = 533

Пошаговое объяснение:

$\frac{x }{19} - 7\frac{9}{19} = 15 \frac{13}{19} + 4 \frac{17}{19} \\ \frac{x}{19} = 15 \frac{13}{19} + 4 \frac{17}{19} + 7 \frac{9}{19} \\ \frac{x}{19} = 15 + 4 + 7 \frac{13 + 17 + 9}{19} \\ \frac{x}{19} = 26 \frac{39}{19} \\ \frac{x}{19} = 26 \frac{1}{19} + \frac{38}{19} \\ \frac{x}{19} = 26 \frac{1}{9} + 2 \\ \frac{x}{19} = 28 \frac{1}{19} \\ \frac{x}{19} = \frac{(19 \times 28 )+ 1}{19} | \times 19 \\ x = 19 \times 28 + 1 \\ x = 533$

Answer 2

$\displaystyle\\\frac{x}{19}-7\frac{9}{19}=15\frac{13}{19}+4\frac{17}{19}\\\\\\\frac{x}{19}-7\frac{9}{19}=19\frac{30}{19}\\\\\\\frac{x}{19}=19\frac{30}{19}+7\frac{9}{19}\\\\\\\frac{x}{19}= 26\frac{39}{19}\\\\\\\frac{x}{19}=\frac{26*19+39}{19}\\\\\\\frac{x}{19}= \frac{533}{19}\\\\\\x=533$

Проверка:

$\displaystyle\\\frac{533}{19}-7\frac{9}{19}=15\frac{13}{19}+4\frac{17}{19}\\\\\\28\frac{1}{19}-7\frac{9}{19}=19\frac{30}{19}\\\\\\27\frac{20}{19}-7\frac{9}{19}=29\frac{11}{19}\\\\\\20\frac{11}{19}=20\frac{11}{19}$