3/5x-1/4-3/2x=3/5-frac{9}{4x} eching

$$\frac { 3 } { 5 x } - \frac { 1 } { 4 } - \frac { 3 } { 2 x } = \frac { 3 } { 5 } - \frac { 9 } { 4 x }$$

x uchun yechish

$$x = \frac{27}{17} = 1\frac{10}{17} \approx 1,588235294$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 20x ga, 5x,4,2x,5,4x ning eng kichik karralisiga ko‘paytiring.

$$4\times 3+20x\left(-\frac{1}{4}\right)-10\times 3=20x\times \frac{3}{5}-5\times 9$$

Ko‘paytirishlarni bajaring.

$$12+20x\left(-\frac{1}{4}\right)-30=20x\times \frac{3}{5}-5\times 9$$

-5 hosil qilish uchun 20 va -\frac{1}{4} ni ko'paytirish.

$$12-5x-30=20x\times \frac{3}{5}-5\times 9$$

-18 olish uchun 12 dan 30 ni ayirish.

$$-18-5x=20x\times \frac{3}{5}-5\times 9$$

12 hosil qilish uchun 20 va \frac{3}{5} ni ko'paytirish.

$$-18-5x=12x-5\times 9$$

-45 hosil qilish uchun -5 va 9 ni ko'paytirish.

$$-18-5x=12x-45$$

Ikkala tarafdan 12x ni ayirish.

$$-18-5x-12x=-45$$

-17x ni olish uchun -5x va -12x ni birlashtirish.

$$-18-17x=-45$$

18 ni ikki tarafga qo’shing.

$$-17x=-45+18$$

-27 olish uchun -45 va 18'ni qo'shing.

$$-17x=-27$$

Ikki tarafini -17 ga bo‘ling.

$$x=\frac{-27}{-17}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-27}{-17} kasrini \frac{27}{17} ga soddalashtirish mumkin.

$$x=\frac{27}{17}$$