1/4-2/3x=11/12 eching

$$\frac { 1 } { 4 } - \frac { 2 } { 3 } x = \frac { 11 } { 12 }$$

x uchun yechish

$$x=-1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \frac{1}{4} ni ayirish.

$$-\frac{2}{3}x=\frac{11}{12}-\frac{1}{4}$$

12 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{11}{12} va \frac{1}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{2}{3}x=\frac{11}{12}-\frac{3}{12}$$

\frac{11}{12} va \frac{3}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{2}{3}x=\frac{11-3}{12}$$

8 olish uchun 11 dan 3 ni ayirish.

$$-\frac{2}{3}x=\frac{8}{12}$$

\frac{8}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

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

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

Surat va maxrajdagi ikkala 2 ni qisqartiring.

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

-1 ni olish uchun -3 ni 3 ga bo‘ling.

$$x=-1$$