175/2quadx-2/5=x-1/6 eching

$$\frac { 175 } { 2 } \quad \frac { x - 2 } { 5 } = \frac { x - 1 } { 6 }$$

x uchun yechish

$$x = \frac{209}{104} = 2\frac{1}{104} \approx 2,009615385$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 2,5,6 ning eng kichik karralisiga ko‘paytiring.

$$525\left(x-2\right)=5\left(x-1\right)$$

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

$$525x-1050=5\left(x-1\right)$$

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

$$525x-1050=5x-5$$

Ikkala tarafdan 5x ni ayirish.

$$525x-1050-5x=-5$$

520x ni olish uchun 525x va -5x ni birlashtirish.

$$520x-1050=-5$$

1050 ni ikki tarafga qo’shing.

$$520x=-5+1050$$

1045 olish uchun -5 va 1050'ni qo'shing.

$$520x=1045$$

Ikki tarafini 520 ga bo‘ling.

$$x=\frac{1045}{520}$$

\frac{1045}{520} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{209}{104}$$