(3/4x+1/3)*1/2=2x+1 eching

$$( \frac { 3 } { 4 } x + \frac { 1 } { 3 } ) \times \frac { 1 } { 2 } = 2 x + 1$$

x uchun yechish

$$x=-\frac{20}{39}\approx -0,512820513$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{4}x+\frac{1}{3} ga \frac{1}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{1}{2} ga ko‘paytiring.

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

\frac{3\times 1}{4\times 2} kasridagi ko‘paytirishlarni bajaring.

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

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

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

\frac{1\times 1}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3}{8}x+\frac{1}{6}=2x+1$$

Ikkala tarafdan 2x ni ayirish.

$$\frac{3}{8}x+\frac{1}{6}-2x=1$$

-\frac{13}{8}x ni olish uchun \frac{3}{8}x va -2x ni birlashtirish.

$$-\frac{13}{8}x+\frac{1}{6}=1$$

Ikkala tarafdan \frac{1}{6} ni ayirish.

$$-\frac{13}{8}x=1-\frac{1}{6}$$

1 ni \frac{6}{6} kasrga o‘giring.

$$-\frac{13}{8}x=\frac{6}{6}-\frac{1}{6}$$

\frac{6}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{13}{8}x=\frac{6-1}{6}$$

5 olish uchun 6 dan 1 ni ayirish.

$$-\frac{13}{8}x=\frac{5}{6}$$

Ikki tarafini -\frac{8}{13} va teskari kasri -\frac{13}{8} ga ko‘paytiring.

$$x=\frac{5}{6}\left(-\frac{8}{13}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni -\frac{8}{13} ga ko‘paytiring.

$$x=\frac{5\left(-8\right)}{6\times 13}$$

\frac{5\left(-8\right)}{6\times 13} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-40}{78}$$

\frac{-40}{78} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{20}{39}$$