3+x/9+x=50/100 eching

$$\frac{ 3+x }{ 9+x } = \frac{ 50 }{ 100 }$$

x uchun yechish

$$x=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -9 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 100\left(x+9\right) ga, 9+x,100 ning eng kichik karralisiga ko‘paytiring.

$$100\left(3+x\right)=\left(x+9\right)\times 50$$

100 ga 3+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$300+100x=\left(x+9\right)\times 50$$

x+9 ga 50 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$300+100x=50x+450$$

Ikkala tarafdan 50x ni ayirish.

$$300+100x-50x=450$$

50x ni olish uchun 100x va -50x ni birlashtirish.

$$300+50x=450$$

Ikkala tarafdan 300 ni ayirish.

$$50x=450-300$$

150 olish uchun 450 dan 300 ni ayirish.

$$50x=150$$

Ikki tarafini 50 ga bo‘ling.

$$x=\frac{150}{50}$$

3 ni olish uchun 150 ni 50 ga bo‘ling.

$$x=3$$