3(7/3x+1/3)*1/2=2x+1 eching

$$3 ( \frac { 7 } { 3 } x + \frac { 1 } { 3 } ) \cdot \frac { 1 } { 2 } = 2 x + 1$$

x uchun yechish

$$x=\frac{1}{3}\approx 0,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{2} hosil qilish uchun 3 va \frac{1}{2} ni ko'paytirish.

$$\frac{3}{2}\left(\frac{7}{3}x+\frac{1}{3}\right)=2x+1$$

\frac{3}{2} ga \frac{7}{3}x+\frac{1}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{3}{2}\times \frac{7}{3}x+\frac{3}{2}\times \frac{1}{3}=2x+1$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{7}{3} ga ko‘paytiring.

$$\frac{3\times 7}{2\times 3}x+\frac{3}{2}\times \frac{1}{3}=2x+1$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{7}{2}x+\frac{3}{2}\times \frac{1}{3}=2x+1$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{2} ni \frac{1}{3} ga ko‘paytiring.

$$\frac{7}{2}x+\frac{3\times 1}{2\times 3}=2x+1$$

Surat va maxrajdagi ikkala 3 ni qisqartiring.

$$\frac{7}{2}x+\frac{1}{2}=2x+1$$

Ikkala tarafdan 2x ni ayirish.

$$\frac{7}{2}x+\frac{1}{2}-2x=1$$

\frac{3}{2}x ni olish uchun \frac{7}{2}x va -2x ni birlashtirish.

$$\frac{3}{2}x+\frac{1}{2}=1$$

Ikkala tarafdan \frac{1}{2} ni ayirish.

$$\frac{3}{2}x=1-\frac{1}{2}$$

1 ni \frac{2}{2} kasrga o‘giring.

$$\frac{3}{2}x=\frac{2}{2}-\frac{1}{2}$$

\frac{2}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{2}x=\frac{2-1}{2}$$

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{3}{2}x=\frac{1}{2}$$

Ikki tarafini \frac{2}{3} va teskari kasri \frac{3}{2} ga ko‘paytiring.

$$x=\frac{1}{2}\times \frac{2}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{2} ni \frac{2}{3} ga ko‘paytiring.

$$x=\frac{1\times 2}{2\times 3}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$x=\frac{1}{3}$$