5/8x+1/3=17/6 eching

$$\frac { 5 } { 8 } x + \frac { 1 } { 3 } = \frac { 17 } { 6 }$$

x uchun yechish

$$x=4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{5}{8}x=\frac{17}{6}-\frac{1}{3}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{17}{6} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{8}x=\frac{17}{6}-\frac{2}{6}$$

\frac{17}{6} va \frac{2}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{8}x=\frac{17-2}{6}$$

15 olish uchun 17 dan 2 ni ayirish.

$$\frac{5}{8}x=\frac{15}{6}$$

\frac{15}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{8}x=\frac{5}{2}$$

Ikki tarafini \frac{8}{5} va teskari kasri \frac{5}{8} ga ko‘paytiring.

$$x=\frac{5}{2}\times \frac{8}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{2} ni \frac{8}{5} ga ko‘paytiring.

$$x=\frac{5\times 8}{2\times 5}$$

Surat va maxrajdagi ikkala 5 ni qisqartiring.

$$x=\frac{8}{2}$$

4 ni olish uchun 8 ni 2 ga bo‘ling.

$$x=4$$