2-7x/1-5x=3+7x/4+5x eching

$$\frac{ 2-7x }{ 1-5x } = \frac{ 3+7x }{ 4+5x }$$

x uchun yechish

$$x=\frac{1}{2}=0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -\frac{4}{5},\frac{1}{5} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(5x-1\right)\left(5x+4\right) ga, 1-5x,4+5x ning eng kichik karralisiga ko‘paytiring.

$$\left(-4-5x\right)\left(2-7x\right)=\left(5x-1\right)\left(3+7x\right)$$

-4-5x ga 2-7x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-8+18x+35x^{2}=\left(5x-1\right)\left(3+7x\right)$$

5x-1 ga 3+7x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$-8+18x+35x^{2}=8x+35x^{2}-3$$

Ikkala tarafdan 8x ni ayirish.

$$-8+18x+35x^{2}-8x=35x^{2}-3$$

10x ni olish uchun 18x va -8x ni birlashtirish.

$$-8+10x+35x^{2}=35x^{2}-3$$

Ikkala tarafdan 35x^{2} ni ayirish.

$$-8+10x+35x^{2}-35x^{2}=-3$$

0 ni olish uchun 35x^{2} va -35x^{2} ni birlashtirish.

$$-8+10x=-3$$

8 ni ikki tarafga qo’shing.

$$10x=-3+8$$

5 olish uchun -3 va 8'ni qo'shing.

$$10x=5$$

Ikki tarafini 10 ga bo‘ling.

$$x=\frac{5}{10}$$

\frac{5}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1}{2}$$