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

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

x uchun yechish

$$x = \frac{24}{19} = 1\frac{5}{19} \approx 1,263157895$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -\frac{2}{3},\frac{4}{5} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(5x-4\right)\left(3x+2\right) ga, 3x+2,4-5x ning eng kichik karralisiga ko‘paytiring.

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

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

$$-25x+20=\left(-2-3x\right)\times 2$$

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

$$-25x+20=-4-6x$$

6x ni ikki tarafga qo’shing.

$$-25x+20+6x=-4$$

-19x ni olish uchun -25x va 6x ni birlashtirish.

$$-19x+20=-4$$

Ikkala tarafdan 20 ni ayirish.

$$-19x=-4-20$$

-24 olish uchun -4 dan 20 ni ayirish.

$$-19x=-24$$

Ikki tarafini -19 ga bo‘ling.

$$x=\frac{-24}{-19}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-24}{-19} kasrini \frac{24}{19} ga soddalashtirish mumkin.

$$x=\frac{24}{19}$$