(1/2-x):x=[2/7*(1-1/5)]:[(1-3/5):(1+frac{2}{5})] eching

$$( \frac { 1 } { 2 } - x ) : x = [ \frac { 2 } { 7 } \cdot ( 1 - \frac { 1 } { 5 } ) ] : [ ( 1 - \frac { 3 } { 5 } ) : ( 1 + \frac { 2 } { 5 } ) ]$$

x uchun yechish

$$x=\frac{5}{18}\approx 0,277777778$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini x ga ko'paytirish.

$$\frac{1}{2}-x=\frac{7}{2}x\times \frac{2}{7}\left(1-\frac{1}{5}\right)$$

\frac{7}{2} va uning teskari kasrini \frac{2}{7} ni qisqartiring.

$$\frac{1}{2}-x=x\left(1-\frac{1}{5}\right)$$

1 ni \frac{5}{5} kasrga o‘giring.

$$\frac{1}{2}-x=x\left(\frac{5}{5}-\frac{1}{5}\right)$$

\frac{5}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{2}-x=x\times \frac{5-1}{5}$$

4 olish uchun 5 dan 1 ni ayirish.

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

Ikkala tarafdan x\times \frac{4}{5} ni ayirish.

$$\frac{1}{2}-x-x\times \frac{4}{5}=0$$

-\frac{9}{5}x ni olish uchun -x va -x\times \frac{4}{5} ni birlashtirish.

$$\frac{1}{2}-\frac{9}{5}x=0$$

Ikkala tarafdan \frac{1}{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-\frac{9}{5}x=-\frac{1}{2}$$

Ikki tarafini -\frac{5}{9} va teskari kasri -\frac{9}{5} ga ko‘paytiring.

$$x=-\frac{1}{2}\left(-\frac{5}{9}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{2} ni -\frac{5}{9} ga ko‘paytiring.

$$x=\frac{-\left(-5\right)}{2\times 9}$$

\frac{-\left(-5\right)}{2\times 9} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{5}{18}$$