1(94)+25(185div25+6)+25(6div16+075)+4x=8 eching

$$1(94)+25(185 \div 25+6)+25(6 \div 16+075)+4x=8$$

x uchun yechish

$$x = -\frac{3443}{32} = -107\frac{19}{32} = -107,59375$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

94 hosil qilish uchun 1 va 94 ni ko'paytirish.

$$94+25\left(\frac{185}{25}+6\right)+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

\frac{185}{25} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$94+25\left(\frac{37}{5}+6\right)+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

6 ni \frac{30}{5} kasrga o‘giring.

$$94+25\left(\frac{37}{5}+\frac{30}{5}\right)+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

\frac{37}{5} va \frac{30}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$94+25\times \frac{37+30}{5}+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

67 olish uchun 37 va 30'ni qo'shing.

$$94+25\times \frac{67}{5}+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

25\times \frac{67}{5} ni yagona kasrga aylantiring.

$$94+\frac{25\times 67}{5}+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

1675 hosil qilish uchun 25 va 67 ni ko'paytirish.

$$94+\frac{1675}{5}+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

335 ni olish uchun 1675 ni 5 ga bo‘ling.

$$94+335+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

429 olish uchun 94 va 335'ni qo'shing.

$$429+25\left(\frac{6}{16}+0\times 75\right)+4x=8$$

\frac{6}{16} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$429+25\left(\frac{3}{8}+0\times 75\right)+4x=8$$

0 hosil qilish uchun 0 va 75 ni ko'paytirish.

$$429+25\left(\frac{3}{8}+0\right)+4x=8$$

\frac{3}{8} olish uchun \frac{3}{8} va 0'ni qo'shing.

$$429+25\times \frac{3}{8}+4x=8$$

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

$$429+\frac{25\times 3}{8}+4x=8$$

75 hosil qilish uchun 25 va 3 ni ko'paytirish.

$$429+\frac{75}{8}+4x=8$$

429 ni \frac{3432}{8} kasrga o‘giring.

$$\frac{3432}{8}+\frac{75}{8}+4x=8$$

\frac{3432}{8} va \frac{75}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3432+75}{8}+4x=8$$

3507 olish uchun 3432 va 75'ni qo'shing.

$$\frac{3507}{8}+4x=8$$

Ikkala tarafdan \frac{3507}{8} ni ayirish.

$$4x=8-\frac{3507}{8}$$

8 ni \frac{64}{8} kasrga o‘giring.

$$4x=\frac{64}{8}-\frac{3507}{8}$$

\frac{64}{8} va \frac{3507}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$4x=\frac{64-3507}{8}$$

-3443 olish uchun 64 dan 3507 ni ayirish.

$$4x=-\frac{3443}{8}$$

Ikki tarafini 4 ga bo‘ling.

$$x=\frac{-\frac{3443}{8}}{4}$$

\frac{-\frac{3443}{8}}{4} ni yagona kasrga aylantiring.

$$x=\frac{-3443}{8\times 4}$$

32 hosil qilish uchun 8 va 4 ni ko'paytirish.

$$x=\frac{-3443}{32}$$

\frac{-3443}{32} kasri manfiy belgini olib tashlash bilan -\frac{3443}{32} sifatida qayta yozilishi mumkin.

$$x=-\frac{3443}{32}$$