-6/10x+2/5=x-1/3+1 eching

$$- \frac{ 6 }{ 10 } x+ \frac{ 2 }{ 5 } = \frac{ x-1 }{ 3 } +1$$

x uchun yechish

$$x=-\frac{2}{7}\approx -0,285714286$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 10,5,3 ning eng kichik karralisiga ko‘paytiring.

$$30\left(-\frac{6}{10}\right)x+12=10\left(x-1\right)+30$$

\frac{6}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$30\left(-\frac{3}{5}\right)x+12=10\left(x-1\right)+30$$

30\left(-\frac{3}{5}\right) ni yagona kasrga aylantiring.

$$\frac{30\left(-3\right)}{5}x+12=10\left(x-1\right)+30$$

-90 hosil qilish uchun 30 va -3 ni ko'paytirish.

$$\frac{-90}{5}x+12=10\left(x-1\right)+30$$

-18 ni olish uchun -90 ni 5 ga bo‘ling.

$$-18x+12=10\left(x-1\right)+30$$

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

$$-18x+12=10x-10+30$$

20 olish uchun -10 va 30'ni qo'shing.

$$-18x+12=10x+20$$

Ikkala tarafdan 10x ni ayirish.

$$-18x+12-10x=20$$

-28x ni olish uchun -18x va -10x ni birlashtirish.

$$-28x+12=20$$

Ikkala tarafdan 12 ni ayirish.

$$-28x=20-12$$

8 olish uchun 20 dan 12 ni ayirish.

$$-28x=8$$

Ikki tarafini -28 ga bo‘ling.

$$x=\frac{8}{-28}$$

\frac{8}{-28} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{2}{7}$$