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

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

x uchun yechish

$$x = -\frac{27}{13} = -2\frac{1}{13} \approx -2,076923077$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 2,4,3 ning eng kichik karralisiga ko‘paytiring.

$$6\times 3x+3+12\times 2=3\times 3x-4x$$

18 hosil qilish uchun 6 va 3 ni ko'paytirish.

$$18x+3+12\times 2=3\times 3x-4x$$

24 hosil qilish uchun 12 va 2 ni ko'paytirish.

$$18x+3+24=3\times 3x-4x$$

27 olish uchun 3 va 24'ni qo'shing.

$$18x+27=3\times 3x-4x$$

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$18x+27=9x-4x$$

5x ni olish uchun 9x va -4x ni birlashtirish.

$$18x+27=5x$$

Ikkala tarafdan 5x ni ayirish.

$$18x+27-5x=0$$

13x ni olish uchun 18x va -5x ni birlashtirish.

$$13x+27=0$$

Ikkala tarafdan 27 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$13x=-27$$

Ikki tarafini 13 ga bo‘ling.

$$x=\frac{-27}{13}$$

\frac{-27}{13} kasri manfiy belgini olib tashlash bilan -\frac{27}{13} sifatida qayta yozilishi mumkin.

$$x=-\frac{27}{13}$$