3/5(2-x)=1/4(x-4) eching

$$\frac { 3 } { 5 } ( 2 - x ) = \frac { 1 } { 4 } ( x - 4 )$$

x uchun yechish

$$x = \frac{44}{17} = 2\frac{10}{17} \approx 2,588235294$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{5} ga 2-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

\frac{3}{5}\times 2 ni yagona kasrga aylantiring.

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

6 hosil qilish uchun 3 va 2 ni ko'paytirish.

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

-\frac{3}{5} hosil qilish uchun \frac{3}{5} va -1 ni ko'paytirish.

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

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

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

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

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x+\frac{-4}{4}$$

-1 ni olish uchun -4 ni 4 ga bo‘ling.

$$\frac{6}{5}-\frac{3}{5}x=\frac{1}{4}x-1$$

Ikkala tarafdan \frac{1}{4}x ni ayirish.

$$\frac{6}{5}-\frac{3}{5}x-\frac{1}{4}x=-1$$

-\frac{17}{20}x ni olish uchun -\frac{3}{5}x va -\frac{1}{4}x ni birlashtirish.

$$\frac{6}{5}-\frac{17}{20}x=-1$$

Ikkala tarafdan \frac{6}{5} ni ayirish.

$$-\frac{17}{20}x=-1-\frac{6}{5}$$

-1 ni -\frac{5}{5} kasrga o‘giring.

$$-\frac{17}{20}x=-\frac{5}{5}-\frac{6}{5}$$

-\frac{5}{5} va \frac{6}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{17}{20}x=\frac{-5-6}{5}$$

-11 olish uchun -5 dan 6 ni ayirish.

$$-\frac{17}{20}x=-\frac{11}{5}$$

Ikki tarafini -\frac{20}{17} va teskari kasri -\frac{17}{20} ga ko‘paytiring.

$$x=-\frac{11}{5}\left(-\frac{20}{17}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{11}{5} ni -\frac{20}{17} ga ko‘paytiring.

$$x=\frac{-11\left(-20\right)}{5\times 17}$$

\frac{-11\left(-20\right)}{5\times 17} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{220}{85}$$

\frac{220}{85} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{44}{17}$$