10/x-7/5=8/x-9/10 eching

$$\frac { 10 } { x } - \frac { 7 } { 5 } = \frac { 8 } { x } - \frac { 9 } { 10 }$$

x uchun yechish

$$x=4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$10\times 10+10x\left(-\frac{7}{5}\right)=10\times 8+10x\left(-\frac{9}{10}\right)$$

100 hosil qilish uchun 10 va 10 ni ko'paytirish.

$$100+10x\left(-\frac{7}{5}\right)=10\times 8+10x\left(-\frac{9}{10}\right)$$

10\left(-\frac{7}{5}\right) ni yagona kasrga aylantiring.

$$100+\frac{10\left(-7\right)}{5}x=10\times 8+10x\left(-\frac{9}{10}\right)$$

-70 hosil qilish uchun 10 va -7 ni ko'paytirish.

$$100+\frac{-70}{5}x=10\times 8+10x\left(-\frac{9}{10}\right)$$

-14 ni olish uchun -70 ni 5 ga bo‘ling.

$$100-14x=10\times 8+10x\left(-\frac{9}{10}\right)$$

80 hosil qilish uchun 10 va 8 ni ko'paytirish.

$$100-14x=80+10x\left(-\frac{9}{10}\right)$$

10 va 10 ni qisqartiring.

$$100-14x=80-9x$$

9x ni ikki tarafga qo’shing.

$$100-14x+9x=80$$

-5x ni olish uchun -14x va 9x ni birlashtirish.

$$100-5x=80$$

Ikkala tarafdan 100 ni ayirish.

$$-5x=80-100$$

-20 olish uchun 80 dan 100 ni ayirish.

$$-5x=-20$$

Ikki tarafini -5 ga bo‘ling.

$$x=\frac{-20}{-5}$$

4 ni olish uchun -20 ni -5 ga bo‘ling.

$$x=4$$