2/5+7/10=18/x+36/x eching

$$\frac { 2 } { 5 } + \frac { 7 } { 10 } = 18 / x + 36 / x$$

x uchun yechish

$$x = \frac{540}{11} = 49\frac{1}{11} \approx 49,090909091$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 10x ga, 5,10,x ning eng kichik karralisiga ko‘paytiring.

$$10x\times \frac{2}{5}+10x\times \frac{7}{10}=10\times 18+10\times 36$$

10\times \frac{2}{5} ni yagona kasrga aylantiring.

$$\frac{10\times 2}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

20 hosil qilish uchun 10 va 2 ni ko'paytirish.

$$\frac{20}{5}x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

4 ni olish uchun 20 ni 5 ga bo‘ling.

$$4x+10x\times \frac{7}{10}=10\times 18+10\times 36$$

10 va 10 ni qisqartiring.

$$4x+7x=10\times 18+10\times 36$$

11x ni olish uchun 4x va 7x ni birlashtirish.

$$11x=10\times 18+10\times 36$$

180 hosil qilish uchun 10 va 18 ni ko'paytirish. 360 hosil qilish uchun 10 va 36 ni ko'paytirish.

$$11x=180+360$$

540 olish uchun 180 va 360'ni qo'shing.

$$11x=540$$

Ikki tarafini 11 ga bo‘ling.

$$x=\frac{540}{11}$$