3/x+5=4/1-2x eching

$$\frac { 3 } { x + 5 } = \frac { 4 } { 1 - 2 x }$$

x uchun yechish

$$x = -\frac{17}{10} = -1\frac{7}{10} = -1,7$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -5,\frac{1}{2} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(2x-1\right)\left(x+5\right) ga, x+5,1-2x ning eng kichik karralisiga ko‘paytiring.

$$\left(2x-1\right)\times 3=-\left(5+x\right)\times 4$$

2x-1 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-3=-\left(5+x\right)\times 4$$

-4 hosil qilish uchun -1 va 4 ni ko'paytirish.

$$6x-3=-4\left(5+x\right)$$

-4 ga 5+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-3=-20-4x$$

4x ni ikki tarafga qo’shing.

$$6x-3+4x=-20$$

10x ni olish uchun 6x va 4x ni birlashtirish.

$$10x-3=-20$$

3 ni ikki tarafga qo’shing.

$$10x=-20+3$$

-17 olish uchun -20 va 3'ni qo'shing.

$$10x=-17$$

Ikki tarafini 10 ga bo‘ling.

$$x=\frac{-17}{10}$$

\frac{-17}{10} kasri manfiy belgini olib tashlash bilan -\frac{17}{10} sifatida qayta yozilishi mumkin.

$$x=-\frac{17}{10}$$