1-1/6*(2z-5)=1/4*(3-z) eching

$$1 - \frac { 1 } { 6 } \cdot ( 2 z - 5 ) = \frac { 1 } { 4 } \cdot ( 3 - z )$$

z uchun yechish

$$z=13$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{1}{6} ga 2z-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$1-\frac{1}{6}\times 2z-\frac{1}{6}\left(-5\right)=\frac{1}{4}\left(3-z\right)$$

-\frac{1}{6}\times 2 ni yagona kasrga aylantiring.

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

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

$$1-\frac{1}{3}z-\frac{1}{6}\left(-5\right)=\frac{1}{4}\left(3-z\right)$$

-\frac{1}{6}\left(-5\right) ni yagona kasrga aylantiring.

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

5 hosil qilish uchun -1 va -5 ni ko'paytirish.

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

1 ni \frac{6}{6} kasrga o‘giring.

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

\frac{6}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

11 olish uchun 6 va 5'ni qo'shing.

$$\frac{11}{6}-\frac{1}{3}z=\frac{1}{4}\left(3-z\right)$$

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

$$\frac{11}{6}-\frac{1}{3}z=\frac{1}{4}\times 3+\frac{1}{4}\left(-1\right)z$$

\frac{3}{4} hosil qilish uchun \frac{1}{4} va 3 ni ko'paytirish.

$$\frac{11}{6}-\frac{1}{3}z=\frac{3}{4}+\frac{1}{4}\left(-1\right)z$$

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

$$\frac{11}{6}-\frac{1}{3}z=\frac{3}{4}-\frac{1}{4}z$$

\frac{1}{4}z ni ikki tarafga qo’shing.

$$\frac{11}{6}-\frac{1}{3}z+\frac{1}{4}z=\frac{3}{4}$$

-\frac{1}{12}z ni olish uchun -\frac{1}{3}z va \frac{1}{4}z ni birlashtirish.

$$\frac{11}{6}-\frac{1}{12}z=\frac{3}{4}$$

Ikkala tarafdan \frac{11}{6} ni ayirish.

$$-\frac{1}{12}z=\frac{3}{4}-\frac{11}{6}$$

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{3}{4} va \frac{11}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{12}z=\frac{9}{12}-\frac{22}{12}$$

\frac{9}{12} va \frac{22}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{1}{12}z=\frac{9-22}{12}$$

-13 olish uchun 9 dan 22 ni ayirish.

$$-\frac{1}{12}z=-\frac{13}{12}$$

Ikki tarafini -12 va teskari kasri -\frac{1}{12} ga ko‘paytiring.

$$z=-\frac{13}{12}\left(-12\right)$$

-\frac{13}{12}\left(-12\right) ni yagona kasrga aylantiring.

$$z=\frac{-13\left(-12\right)}{12}$$

156 hosil qilish uchun -13 va -12 ni ko'paytirish.

$$z=\frac{156}{12}$$

13 ni olish uchun 156 ni 12 ga bo‘ling.

$$z=13$$