1/3/0.2=1/5-frac{a/7}{frac{1}{4}} eching

$$\frac { \frac { 1 } { 3 } } { 0.2 } = \frac { \frac { 1 } { 5 } - \frac { a } { 7 } } { \frac { 1 } { 4 } }$$

a uchun yechish

$$a = -\frac{91}{60} = -1\frac{31}{60} \approx -1,516666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{\frac{1}{3}}{0,2} ni yagona kasrga aylantiring.

$$\frac{1}{3\times 0,2}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

0,6 hosil qilish uchun 3 va 0,2 ni ko'paytirish.

$$\frac{1}{0,6}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

\frac{1}{0,6} kasrini uning surat va maxrajini 10 ga ko‘paytirish bilan kengaytiring.

$$\frac{10}{6}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

\frac{10}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{3}=\frac{\frac{1}{5}-\frac{a}{7}}{\frac{1}{4}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 va 7 ning eng kichik umumiy karralisi 35. \frac{1}{5} ni \frac{7}{7} marotabaga ko'paytirish. \frac{a}{7} ni \frac{5}{5} marotabaga ko'paytirish.

$$\frac{5}{3}=\frac{\frac{7}{35}-\frac{5a}{35}}{\frac{1}{4}}$$

\frac{7}{35} va \frac{5a}{35} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{3}=\frac{\frac{7-5a}{35}}{\frac{1}{4}}$$

\frac{1}{5}-\frac{1}{7}a natijani olish uchun 7-5a ning har bir ifodasini 35 ga bo‘ling.

$$\frac{5}{3}=\frac{\frac{1}{5}-\frac{1}{7}a}{\frac{1}{4}}$$

\frac{\frac{1}{5}}{\frac{1}{4}}+\frac{-\frac{1}{7}a}{\frac{1}{4}} natijani olish uchun \frac{1}{5}-\frac{1}{7}a ning har bir ifodasini \frac{1}{4} ga bo‘ling.

$$\frac{5}{3}=\frac{\frac{1}{5}}{\frac{1}{4}}+\frac{-\frac{1}{7}a}{\frac{1}{4}}$$

\frac{1}{5} ni \frac{1}{4} ga bo'lish \frac{1}{5} ga k'paytirish \frac{1}{4} ga qaytarish.

$$\frac{5}{3}=\frac{1}{5}\times 4+\frac{-\frac{1}{7}a}{\frac{1}{4}}$$

\frac{4}{5} hosil qilish uchun \frac{1}{5} va 4 ni ko'paytirish.

$$\frac{5}{3}=\frac{4}{5}+\frac{-\frac{1}{7}a}{\frac{1}{4}}$$

-\frac{4}{7}a ni olish uchun -\frac{1}{7}a ni \frac{1}{4} ga bo‘ling.

$$\frac{5}{3}=\frac{4}{5}-\frac{4}{7}a$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$\frac{4}{5}-\frac{4}{7}a=\frac{5}{3}$$

Ikkala tarafdan \frac{4}{5} ni ayirish.

$$-\frac{4}{7}a=\frac{5}{3}-\frac{4}{5}$$

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{5}{3} va \frac{4}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{4}{7}a=\frac{25}{15}-\frac{12}{15}$$

\frac{25}{15} va \frac{12}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{4}{7}a=\frac{25-12}{15}$$

13 olish uchun 25 dan 12 ni ayirish.

$$-\frac{4}{7}a=\frac{13}{15}$$

Ikki tarafini -\frac{7}{4} va teskari kasri -\frac{4}{7} ga ko‘paytiring.

$$a=\frac{13}{15}\left(-\frac{7}{4}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{13}{15} ni -\frac{7}{4} ga ko‘paytiring.

$$a=\frac{13\left(-7\right)}{15\times 4}$$

\frac{13\left(-7\right)}{15\times 4} kasridagi ko‘paytirishlarni bajaring.

$$a=\frac{-91}{60}$$

\frac{-91}{60} kasri manfiy belgini olib tashlash bilan -\frac{91}{60} sifatida qayta yozilishi mumkin.

$$a=-\frac{91}{60}$$