1/8+1/x=1/45 eching

$$\frac { 1 } { 8 } + \frac { 1 } { x } = \frac { 1 } { 45 }$$

x uchun yechish

$$x = -\frac{360}{37} = -9\frac{27}{37} \approx -9,72972973$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 360x ga, 8,x,45 ning eng kichik karralisiga ko‘paytiring.

$$360x\times \frac{1}{8}+360=8x$$

\frac{360}{8} hosil qilish uchun 360 va \frac{1}{8} ni ko'paytirish.

$$\frac{360}{8}x+360=8x$$

45 ni olish uchun 360 ni 8 ga bo‘ling.

$$45x+360=8x$$

Ikkala tarafdan 8x ni ayirish.

$$45x+360-8x=0$$

37x ni olish uchun 45x va -8x ni birlashtirish.

$$37x+360=0$$

Ikkala tarafdan 360 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$37x=-360$$

Ikki tarafini 37 ga bo‘ling.

$$x=\frac{-360}{37}$$

\frac{-360}{37} kasri manfiy belgini olib tashlash bilan -\frac{360}{37} sifatida qayta yozilishi mumkin.

$$x=-\frac{360}{37}$$