3/4(z+8)=1/3(z-12) eching

$$\frac { 3 } { 4 } ( z + 8 ) = \frac { 1 } { 3 } ( z - 12 )$$

z uchun yechish

$$z=-24$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{4} ga z+8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3}{4}z+\frac{3}{4}\times 8=\frac{1}{3}\left(z-12\right)$$

\frac{3}{4}\times 8 ni yagona kasrga aylantiring.

$$\frac{3}{4}z+\frac{3\times 8}{4}=\frac{1}{3}\left(z-12\right)$$

24 hosil qilish uchun 3 va 8 ni ko'paytirish.

$$\frac{3}{4}z+\frac{24}{4}=\frac{1}{3}\left(z-12\right)$$

6 ni olish uchun 24 ni 4 ga bo‘ling.

$$\frac{3}{4}z+6=\frac{1}{3}\left(z-12\right)$$

\frac{1}{3} ga z-12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3}{4}z+6=\frac{1}{3}z+\frac{1}{3}\left(-12\right)$$

\frac{-12}{3} hosil qilish uchun \frac{1}{3} va -12 ni ko'paytirish.

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

-4 ni olish uchun -12 ni 3 ga bo‘ling.

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

Ikkala tarafdan \frac{1}{3}z ni ayirish.

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

\frac{5}{12}z ni olish uchun \frac{3}{4}z va -\frac{1}{3}z ni birlashtirish.

$$\frac{5}{12}z+6=-4$$

Ikkala tarafdan 6 ni ayirish.

$$\frac{5}{12}z=-4-6$$

-10 olish uchun -4 dan 6 ni ayirish.

$$\frac{5}{12}z=-10$$

Ikki tarafini \frac{12}{5} va teskari kasri \frac{5}{12} ga ko‘paytiring.

$$z=-10\times \frac{12}{5}$$

-10\times \frac{12}{5} ni yagona kasrga aylantiring.

$$z=\frac{-10\times 12}{5}$$

-120 hosil qilish uchun -10 va 12 ni ko'paytirish.

$$z=\frac{-120}{5}$$

-24 ni olish uchun -120 ni 5 ga bo‘ling.

$$z=-24$$