1/4(2x-1)=35/4-x eching

$$\frac { 1 } { 4 } ( 2 x - 1 ) = \frac { 35 } { 4 } - x$$

x uchun yechish

$$x=6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1}{4} ga 2x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{4}\times 2x+\frac{1}{4}\left(-1\right)=\frac{35}{4}-x$$

\frac{2}{4} hosil qilish uchun \frac{1}{4} va 2 ni ko'paytirish.

$$\frac{2}{4}x+\frac{1}{4}\left(-1\right)=\frac{35}{4}-x$$

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{2}x+\frac{1}{4}\left(-1\right)=\frac{35}{4}-x$$

-\frac{1}{4} hosil qilish uchun \frac{1}{4} va -1 ni ko'paytirish.

$$\frac{1}{2}x-\frac{1}{4}=\frac{35}{4}-x$$

x ni ikki tarafga qo’shing.

$$\frac{1}{2}x-\frac{1}{4}+x=\frac{35}{4}$$

\frac{3}{2}x ni olish uchun \frac{1}{2}x va x ni birlashtirish.

$$\frac{3}{2}x-\frac{1}{4}=\frac{35}{4}$$

\frac{1}{4} ni ikki tarafga qo’shing.

$$\frac{3}{2}x=\frac{35}{4}+\frac{1}{4}$$

\frac{35}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3}{2}x=\frac{35+1}{4}$$

36 olish uchun 35 va 1'ni qo'shing.

$$\frac{3}{2}x=\frac{36}{4}$$

9 ni olish uchun 36 ni 4 ga bo‘ling.

$$\frac{3}{2}x=9$$

Ikki tarafini \frac{2}{3} va teskari kasri \frac{3}{2} ga ko‘paytiring.

$$x=9\times \frac{2}{3}$$

9\times \frac{2}{3} ni yagona kasrga aylantiring.

$$x=\frac{9\times 2}{3}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$x=\frac{18}{3}$$

6 ni olish uchun 18 ni 3 ga bo‘ling.

$$x=6$$