450/x+05=440/x+10 eching

$$\frac{ 450 }{ x } +05 = \frac{ 440 }{ x+10 }$$

x uchun yechish

$$x=-450$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -10,0 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x\left(x+10\right) ga, x,x+10 ning eng kichik karralisiga ko‘paytiring.

$$\left(x+10\right)\times 450+0\times 5x\left(x+10\right)=x\times 440$$

x+10 ga 450 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$450x+4500+0\times 5x\left(x+10\right)=x\times 440$$

0 hosil qilish uchun 0 va 5 ni ko'paytirish.

$$450x+4500+0x\left(x+10\right)=x\times 440$$

Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.

$$450x+4500+0=x\times 440$$

4500 olish uchun 4500 va 0'ni qo'shing.

$$450x+4500=x\times 440$$

Ikkala tarafdan x\times 440 ni ayirish.

$$450x+4500-x\times 440=0$$

10x ni olish uchun 450x va -x\times 440 ni birlashtirish.

$$10x+4500=0$$

Ikkala tarafdan 4500 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$10x=-4500$$

Ikki tarafini 10 ga bo‘ling.

$$x=\frac{-4500}{10}$$

-450 ni olish uchun -4500 ni 10 ga bo‘ling.

$$x=-450$$