4(3/5y+1/100)+5y=8/15 eching

$$4 ( \frac { 3 } { 5 } y + \frac { 1 } { 100 } ) + 5 y = \frac { 8 } { 15 }$$

y uchun yechish

$$y=\frac{1}{15}\approx 0,066666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4 ga \frac{3}{5}y+\frac{1}{100} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4\times \frac{3}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

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

$$\frac{4\times 3}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$\frac{12}{5}y+4\times \frac{1}{100}+5y=\frac{8}{15}$$

\frac{4}{100} hosil qilish uchun 4 va \frac{1}{100} ni ko'paytirish.

$$\frac{12}{5}y+\frac{4}{100}+5y=\frac{8}{15}$$

\frac{4}{100} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{12}{5}y+\frac{1}{25}+5y=\frac{8}{15}$$

\frac{37}{5}y ni olish uchun \frac{12}{5}y va 5y ni birlashtirish.

$$\frac{37}{5}y+\frac{1}{25}=\frac{8}{15}$$

Ikkala tarafdan \frac{1}{25} ni ayirish.

$$\frac{37}{5}y=\frac{8}{15}-\frac{1}{25}$$

15 va 25 ning eng kichik umumiy karralisi 75 ga teng. \frac{8}{15} va \frac{1}{25} ni 75 maxraj bilan kasrlarga aylantirib oling.

$$\frac{37}{5}y=\frac{40}{75}-\frac{3}{75}$$

\frac{40}{75} va \frac{3}{75} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{37}{5}y=\frac{40-3}{75}$$

37 olish uchun 40 dan 3 ni ayirish.

$$\frac{37}{5}y=\frac{37}{75}$$

Ikki tarafini \frac{5}{37} va teskari kasri \frac{37}{5} ga ko‘paytiring.

$$y=\frac{37}{75}\times \frac{5}{37}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{37}{75} ni \frac{5}{37} ga ko‘paytiring.

$$y=\frac{37\times 5}{75\times 37}$$

Surat va maxrajdagi ikkala 37 ni qisqartiring.

$$y=\frac{5}{75}$$

\frac{5}{75} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y=\frac{1}{15}$$