x-2=3/8*(3-x) eching

$$x - 2 = \frac { 3 } { 8 } \cdot ( 3 - x )$$

x uchun yechish

$$x = \frac{25}{11} = 2\frac{3}{11} \approx 2,272727273$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{8} ga 3-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x-2=\frac{3}{8}\times 3+\frac{3}{8}\left(-1\right)x$$

\frac{3}{8}\times 3 ni yagona kasrga aylantiring.

$$x-2=\frac{3\times 3}{8}+\frac{3}{8}\left(-1\right)x$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$x-2=\frac{9}{8}+\frac{3}{8}\left(-1\right)x$$

-\frac{3}{8} hosil qilish uchun \frac{3}{8} va -1 ni ko'paytirish.

$$x-2=\frac{9}{8}-\frac{3}{8}x$$

\frac{3}{8}x ni ikki tarafga qo’shing.

$$x-2+\frac{3}{8}x=\frac{9}{8}$$

\frac{11}{8}x ni olish uchun x va \frac{3}{8}x ni birlashtirish.

$$\frac{11}{8}x-2=\frac{9}{8}$$

2 ni ikki tarafga qo’shing.

$$\frac{11}{8}x=\frac{9}{8}+2$$

2 ni \frac{16}{8} kasrga o‘giring.

$$\frac{11}{8}x=\frac{9}{8}+\frac{16}{8}$$

\frac{9}{8} va \frac{16}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{11}{8}x=\frac{9+16}{8}$$

25 olish uchun 9 va 16'ni qo'shing.

$$\frac{11}{8}x=\frac{25}{8}$$

Ikki tarafini \frac{8}{11} va teskari kasri \frac{11}{8} ga ko‘paytiring.

$$x=\frac{25}{8}\times \frac{8}{11}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{25}{8} ni \frac{8}{11} ga ko‘paytiring.

$$x=\frac{25\times 8}{8\times 11}$$

Surat va maxrajdagi ikkala 8 ni qisqartiring.

$$x=\frac{25}{11}$$