x=1/3x+1/2(1/3x)+1/2(frac{1}{2}*frac{1}{3}x) eching

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

x uchun yechish

$$x=0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

\frac{1}{2}x ni olish uchun \frac{1}{3}x va \frac{1}{6}x ni birlashtirish.

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

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

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

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

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

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

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

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

$$x=\frac{1}{2}x+\frac{1}{12}x$$

\frac{7}{12}x ni olish uchun \frac{1}{2}x va \frac{1}{12}x ni birlashtirish.

$$x=\frac{7}{12}x$$

Ikkala tarafdan \frac{7}{12}x ni ayirish.

$$x-\frac{7}{12}x=0$$

\frac{5}{12}x ni olish uchun x va -\frac{7}{12}x ni birlashtirish.

$$\frac{5}{12}x=0$$

Ikki son koʻpaytmasi 0 ga teng, agar kamida bittasi 0 bo‘lsa. \frac{5}{12} 0 ga teng bo‘lmasa, x 0 ga teng bo‘lishi kerak.

$$x=0$$