3/4x+1/2x-x+8/3=27/2 eching

$$\frac { 3 } { 4 } x + \frac { 1 } { 2 } x - x + \frac { 8 } { 3 } = \frac { 27 } { 2 }$$

x uchun yechish

$$x = \frac{130}{3} = 43\frac{1}{3} \approx 43,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{5}{4}x ni olish uchun \frac{3}{4}x va \frac{1}{2}x ni birlashtirish.

$$\frac{5}{4}x-x+\frac{8}{3}=\frac{27}{2}$$

\frac{1}{4}x ni olish uchun \frac{5}{4}x va -x ni birlashtirish.

$$\frac{1}{4}x+\frac{8}{3}=\frac{27}{2}$$

Ikkala tarafdan \frac{8}{3} ni ayirish.

$$\frac{1}{4}x=\frac{27}{2}-\frac{8}{3}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{27}{2} va \frac{8}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{4}x=\frac{81}{6}-\frac{16}{6}$$

\frac{81}{6} va \frac{16}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{4}x=\frac{81-16}{6}$$

65 olish uchun 81 dan 16 ni ayirish.

$$\frac{1}{4}x=\frac{65}{6}$$

Ikki tarafini 4 va teskari kasri \frac{1}{4} ga ko‘paytiring.

$$x=\frac{65}{6}\times 4$$

\frac{65}{6}\times 4 ni yagona kasrga aylantiring.

$$x=\frac{65\times 4}{6}$$

260 hosil qilish uchun 65 va 4 ni ko'paytirish.

$$x=\frac{260}{6}$$

\frac{260}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{130}{3}$$