5x+3/2=6-2/3x eching

$$5 x + \frac { 3 } { 2 } = 6 - \frac { 2 } { 3 } x$$

x uchun yechish

$$x=\frac{27}{34}\approx 0,794117647$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{3}x ni ikki tarafga qo’shing.

$$5x+\frac{3}{2}+\frac{2}{3}x=6$$

\frac{17}{3}x ni olish uchun 5x va \frac{2}{3}x ni birlashtirish.

$$\frac{17}{3}x+\frac{3}{2}=6$$

Ikkala tarafdan \frac{3}{2} ni ayirish.

$$\frac{17}{3}x=6-\frac{3}{2}$$

6 ni \frac{12}{2} kasrga o‘giring.

$$\frac{17}{3}x=\frac{12}{2}-\frac{3}{2}$$

\frac{12}{2} va \frac{3}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{17}{3}x=\frac{12-3}{2}$$

9 olish uchun 12 dan 3 ni ayirish.

$$\frac{17}{3}x=\frac{9}{2}$$

Ikki tarafini \frac{3}{17} va teskari kasri \frac{17}{3} ga ko‘paytiring.

$$x=\frac{9}{2}\times \frac{3}{17}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{2} ni \frac{3}{17} ga ko‘paytiring.

$$x=\frac{9\times 3}{2\times 17}$$

\frac{9\times 3}{2\times 17} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{27}{34}$$