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

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

x uchun yechish

$$x=-\frac{1}{2}=-0,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini -\frac{4}{3} va teskari kasri -\frac{3}{4} ga ko‘paytiring.

$$1+\frac{2}{3}x=-\frac{1}{2}\left(-\frac{4}{3}\right)$$

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

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

\frac{-\left(-4\right)}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$1+\frac{2}{3}x=\frac{4}{6}$$

\frac{4}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Ikkala tarafdan 1 ni ayirish.

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

1 ni \frac{3}{3} kasrga o‘giring.

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

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

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

-1 olish uchun 2 dan 3 ni ayirish.

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

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

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

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

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

Surat va maxrajdagi ikkala 3 ni qisqartiring.

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

\frac{-1}{2} kasri manfiy belgini olib tashlash bilan -\frac{1}{2} sifatida qayta yozilishi mumkin.

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