2/6x+4left(1+3/4xright)=5 eching

$$\frac{ 2 }{ 6 } x+4 \left( 1+ \frac{ 3 }{ 4 } x \right) = 5$$

x uchun yechish

$$x=\frac{3}{10}=0,3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{1}{3}x+4\left(1+\frac{3}{4}x\right)=5$$

4 ga 1+\frac{3}{4}x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{3}x+4+4\times \frac{3}{4}x=5$$

4 va 4 ni qisqartiring.

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

\frac{10}{3}x ni olish uchun \frac{1}{3}x va 3x ni birlashtirish.

$$\frac{10}{3}x+4=5$$

Ikkala tarafdan 4 ni ayirish.

$$\frac{10}{3}x=5-4$$

1 olish uchun 5 dan 4 ni ayirish.

$$\frac{10}{3}x=1$$

Ikki tarafini \frac{3}{10} va teskari kasri \frac{10}{3} ga ko‘paytiring.

$$x=1\times \frac{3}{10}$$

\frac{3}{10} hosil qilish uchun 1 va \frac{3}{10} ni ko'paytirish.

$$x=\frac{3}{10}$$