x uchun yechish
x=1
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{\frac{3}{7}x-\frac{1}{7}}{\frac{3}{5}}=\frac{\frac{2x}{3}}{\frac{7}{5}}
\frac{3}{7}x-\frac{1}{7} natijani olish uchun 3x-1 ning har bir ifodasini 7 ga bo‘ling.
\frac{\frac{3}{7}x}{\frac{3}{5}}+\frac{-\frac{1}{7}}{\frac{3}{5}}=\frac{\frac{2x}{3}}{\frac{7}{5}}
\frac{\frac{3}{7}x}{\frac{3}{5}}+\frac{-\frac{1}{7}}{\frac{3}{5}} natijani olish uchun \frac{3}{7}x-\frac{1}{7} ning har bir ifodasini \frac{3}{5} ga bo‘ling.
\frac{5}{7}x+\frac{-\frac{1}{7}}{\frac{3}{5}}=\frac{\frac{2x}{3}}{\frac{7}{5}}
\frac{5}{7}x ni olish uchun \frac{3}{7}x ni \frac{3}{5} ga bo‘ling.
\frac{5}{7}x-\frac{1}{7}\times \frac{5}{3}=\frac{\frac{2x}{3}}{\frac{7}{5}}
-\frac{1}{7} ni \frac{3}{5} ga bo'lish -\frac{1}{7} ga k'paytirish \frac{3}{5} ga qaytarish.
\frac{5}{7}x+\frac{-5}{7\times 3}=\frac{\frac{2x}{3}}{\frac{7}{5}}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{7} ni \frac{5}{3} ga ko‘paytiring.
\frac{5}{7}x+\frac{-5}{21}=\frac{\frac{2x}{3}}{\frac{7}{5}}
\frac{-5}{7\times 3} kasridagi ko‘paytirishlarni bajaring.
\frac{5}{7}x-\frac{5}{21}=\frac{\frac{2x}{3}}{\frac{7}{5}}
\frac{-5}{21} kasri manfiy belgini olib tashlash bilan -\frac{5}{21} sifatida qayta yozilishi mumkin.
\frac{5}{7}x-\frac{5}{21}-\frac{\frac{2x}{3}}{\frac{7}{5}}=0
Ikkala tarafdan \frac{\frac{2x}{3}}{\frac{7}{5}} ni ayirish.
\frac{5}{7}x-\frac{\frac{2x}{3}}{\frac{7}{5}}=\frac{5}{21}
\frac{5}{21} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.
-\frac{2x}{\frac{7}{5}\times 3}+\frac{5}{7}x=\frac{5}{21}
Shartlarni qayta saralash.
-\frac{2x}{\frac{7\times 3}{5}}+\frac{5}{7}x=\frac{5}{21}
\frac{7}{5}\times 3 ni yagona kasrga aylantiring.
-\frac{2x}{\frac{21}{5}}+\frac{5}{7}x=\frac{5}{21}
21 hosil qilish uchun 7 va 3 ni ko'paytirish.
-\frac{10}{21}x+\frac{5}{7}x=\frac{5}{21}
\frac{10}{21}x ni olish uchun 2x ni \frac{21}{5} ga bo‘ling.
\frac{5}{21}x=\frac{5}{21}
\frac{5}{21}x ni olish uchun -\frac{10}{21}x va \frac{5}{7}x ni birlashtirish.
x=\frac{5}{21}\times \frac{21}{5}
Ikki tarafini \frac{21}{5} va teskari kasri \frac{5}{21} ga ko‘paytiring.
x=1
\frac{5}{21} va uning teskari kasrini \frac{21}{5} ni qisqartiring.
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