100/x=500/x-20 eching

$$\frac { 100 } { x } = \frac { 500 } { x - 20 }$$

x uchun yechish

$$x=-5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0,20 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x\left(x-20\right) ga, x,x-20 ning eng kichik karralisiga ko‘paytiring.

$$\left(x-20\right)\times 100=x\times 500$$

x-20 ga 100 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$100x-2000=x\times 500$$

Ikkala tarafdan x\times 500 ni ayirish.

$$100x-2000-x\times 500=0$$

-400x ni olish uchun 100x va -x\times 500 ni birlashtirish.

$$-400x-2000=0$$

2000 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$-400x=2000$$

Ikki tarafini -400 ga bo‘ling.

$$x=\frac{2000}{-400}$$

-5 ni olish uchun 2000 ni -400 ga bo‘ling.

$$x=-5$$