4/3x+1/2-5/3x=1/4-1-frac{3}{4}x eching

$$\frac { 4 } { 3 } x + \frac { 1 } { 2 } - \frac { 5 } { 3 } x = \frac { 1 } { 4 } - 1 - \frac { 3 } { 4 } x$$

x uchun yechish

$$x=-3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{1}{3}x ni olish uchun \frac{4}{3}x va -\frac{5}{3}x ni birlashtirish.

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

1 ni \frac{4}{4} kasrga o‘giring.

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

\frac{1}{4} va \frac{4}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-3 olish uchun 1 dan 4 ni ayirish.

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

\frac{3}{4}x ni ikki tarafga qo’shing.

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

\frac{5}{12}x ni olish uchun -\frac{1}{3}x va \frac{3}{4}x ni birlashtirish.

$$\frac{5}{12}x+\frac{1}{2}=-\frac{3}{4}$$

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

$$\frac{5}{12}x=-\frac{3}{4}-\frac{1}{2}$$

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. -\frac{3}{4} va \frac{1}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{12}x=-\frac{3}{4}-\frac{2}{4}$$

-\frac{3}{4} va \frac{2}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{12}x=\frac{-3-2}{4}$$

-5 olish uchun -3 dan 2 ni ayirish.

$$\frac{5}{12}x=-\frac{5}{4}$$

Ikki tarafini \frac{12}{5} va teskari kasri \frac{5}{12} ga ko‘paytiring.

$$x=-\frac{5}{4}\times \frac{12}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{4} ni \frac{12}{5} ga ko‘paytiring.

$$x=\frac{-5\times 12}{4\times 5}$$

\frac{-5\times 12}{4\times 5} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-60}{20}$$

-3 ni olish uchun -60 ni 20 ga bo‘ling.

$$x=-3$$