7/6x-7/3=5/4 eching

$$\frac { 7 } { 6 } x - \frac { 7 } { 3 } = \frac { 5 } { 4 }$$

x uchun yechish

$$x = \frac{43}{14} = 3\frac{1}{14} \approx 3,071428571$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{7}{3} ni ikki tarafga qo’shing.

$$\frac{7}{6}x=\frac{5}{4}+\frac{7}{3}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{5}{4} va \frac{7}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{7}{6}x=\frac{15}{12}+\frac{28}{12}$$

\frac{15}{12} va \frac{28}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7}{6}x=\frac{15+28}{12}$$

43 olish uchun 15 va 28'ni qo'shing.

$$\frac{7}{6}x=\frac{43}{12}$$

Ikki tarafini \frac{6}{7} va teskari kasri \frac{7}{6} ga ko‘paytiring.

$$x=\frac{43}{12}\times \frac{6}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{43}{12} ni \frac{6}{7} ga ko‘paytiring.

$$x=\frac{43\times 6}{12\times 7}$$

\frac{43\times 6}{12\times 7} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{258}{84}$$

\frac{258}{84} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{43}{14}$$