4/t+7/3=1/2-4/3t eching

$$\frac { 4 } { t } + \frac { 7 } { 3 } = \frac { 1 } { 2 } - \frac { 4 } { 3 t }$$

t uchun yechish

$$t = -\frac{32}{11} = -2\frac{10}{11} \approx -2,909090909$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

t qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 6t ga, t,3,2,3t ning eng kichik karralisiga ko‘paytiring.

$$6\times 4+6t\times \frac{7}{3}=6t\times \frac{1}{2}-2\times 4$$

24 hosil qilish uchun 6 va 4 ni ko'paytirish.

$$24+6t\times \frac{7}{3}=6t\times \frac{1}{2}-2\times 4$$

14 hosil qilish uchun 6 va \frac{7}{3} ni ko'paytirish.

$$24+14t=6t\times \frac{1}{2}-2\times 4$$

3 hosil qilish uchun 6 va \frac{1}{2} ni ko'paytirish.

$$24+14t=3t-2\times 4$$

-8 hosil qilish uchun -2 va 4 ni ko'paytirish.

$$24+14t=3t-8$$

Ikkala tarafdan 3t ni ayirish.

$$24+14t-3t=-8$$

11t ni olish uchun 14t va -3t ni birlashtirish.

$$24+11t=-8$$

Ikkala tarafdan 24 ni ayirish.

$$11t=-8-24$$

-32 olish uchun -8 dan 24 ni ayirish.

$$11t=-32$$

Ikki tarafini 11 ga bo‘ling.

$$t=\frac{-32}{11}$$

\frac{-32}{11} kasri manfiy belgini olib tashlash bilan -\frac{32}{11} sifatida qayta yozilishi mumkin.

$$t=-\frac{32}{11}$$