2/5-7/2x+1/2(x/1+frac{1}{3})=-frac{5}{2}+frac{x}{1} eching

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

x uchun yechish

$$x=\frac{23}{30}\approx 0,766666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 5,2,3 ning eng kichik karralisiga ko‘paytiring.

$$12-105x+15\left(\frac{x}{1}+\frac{1}{3}\right)=-75+30x$$

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$12-105x+15\left(x+\frac{1}{3}\right)=-75+30x$$

15 ga x+\frac{1}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$12-105x+15x+15\times \frac{1}{3}=-75+30x$$

\frac{15}{3} hosil qilish uchun 15 va \frac{1}{3} ni ko'paytirish.

$$12-105x+15x+\frac{15}{3}=-75+30x$$

5 ni olish uchun 15 ni 3 ga bo‘ling.

$$12-105x+15x+5=-75+30x$$

-90x ni olish uchun -105x va 15x ni birlashtirish.

$$12-90x+5=-75+30x$$

17 olish uchun 12 va 5'ni qo'shing.

$$17-90x=-75+30x$$

Ikkala tarafdan 30x ni ayirish.

$$17-90x-30x=-75$$

-120x ni olish uchun -90x va -30x ni birlashtirish.

$$17-120x=-75$$

Ikkala tarafdan 17 ni ayirish.

$$-120x=-75-17$$

-92 olish uchun -75 dan 17 ni ayirish.

$$-120x=-92$$

Ikki tarafini -120 ga bo‘ling.

$$x=\frac{-92}{-120}$$

\frac{-92}{-120} ulushini -4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{23}{30}$$