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

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

x uchun yechish

$$x = \frac{25}{11} = 2\frac{3}{11} \approx 2,272727273$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 3 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 4\left(x-3\right) ga, 3-x,4 ning eng kichik karralisiga ko‘paytiring.

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

-4 ga 2x-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-8x+16=3\left(x-3\right)$$

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

$$-8x+16=3x-9$$

Ikkala tarafdan 3x ni ayirish.

$$-8x+16-3x=-9$$

-11x ni olish uchun -8x va -3x ni birlashtirish.

$$-11x+16=-9$$

Ikkala tarafdan 16 ni ayirish.

$$-11x=-9-16$$

-25 olish uchun -9 dan 16 ni ayirish.

$$-11x=-25$$

Ikki tarafini -11 ga bo‘ling.

$$x=\frac{-25}{-11}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-25}{-11} kasrini \frac{25}{11} ga soddalashtirish mumkin.

$$x=\frac{25}{11}$$