x+1/x=61/30 eching

$$\frac { x + 1 } { x } = \frac { 61 } { 30 }$$

x uchun yechish

$$x=\frac{30}{31}\approx 0,967741935$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 30x ga, x,30 ning eng kichik karralisiga ko‘paytiring.

$$30\left(x+1\right)=61x$$

30 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$30x+30=61x$$

Ikkala tarafdan 61x ni ayirish.

$$30x+30-61x=0$$

-31x ni olish uchun 30x va -61x ni birlashtirish.

$$-31x+30=0$$

Ikkala tarafdan 30 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-31x=-30$$

Ikki tarafini -31 ga bo‘ling.

$$x=\frac{-30}{-31}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-30}{-31} kasrini \frac{30}{31} ga soddalashtirish mumkin.

$$x=\frac{30}{31}$$