x uchun yechish
x = -\frac{70}{47} = -1\frac{23}{47} \approx -1,489361702
Grafik
Baham ko'rish
Klipbordga nusxa olish
7\left(11x+5\right)=7\left(6x-7\right)+7\left(6x-7\right)\left(-\frac{2}{7}\right)
x qiymati \frac{7}{6} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 7\left(6x-7\right) ga, 6x-7,7 ning eng kichik karralisiga ko‘paytiring.
77x+35=7\left(6x-7\right)+7\left(6x-7\right)\left(-\frac{2}{7}\right)
7 ga 11x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
77x+35=42x-49+7\left(6x-7\right)\left(-\frac{2}{7}\right)
7 ga 6x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
77x+35=42x-49-2\left(6x-7\right)
-2 hosil qilish uchun 7 va -\frac{2}{7} ni ko'paytirish.
77x+35=42x-49-12x+14
-2 ga 6x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
77x+35=30x-49+14
30x ni olish uchun 42x va -12x ni birlashtirish.
77x+35=30x-35
-35 olish uchun -49 va 14'ni qo'shing.
77x+35-30x=-35
Ikkala tarafdan 30x ni ayirish.
47x+35=-35
47x ni olish uchun 77x va -30x ni birlashtirish.
47x=-35-35
Ikkala tarafdan 35 ni ayirish.
47x=-70
-70 olish uchun -35 dan 35 ni ayirish.
x=\frac{-70}{47}
Ikki tarafini 47 ga bo‘ling.
x=-\frac{70}{47}
\frac{-70}{47} kasri manfiy belgini olib tashlash bilan -\frac{70}{47} sifatida qayta yozilishi mumkin.
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