2x-3/4-+x-5=5x/2-4/3 eching

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

x uchun yechish

$$x = -\frac{53}{36} = -1\frac{17}{36} \approx -1,472222222$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3\left(2x-3\right)-12x-60=6\times 5x-16$$

3 ga 2x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-9-12x-60=6\times 5x-16$$

-6x ni olish uchun 6x va -12x ni birlashtirish.

$$-6x-9-60=6\times 5x-16$$

-69 olish uchun -9 dan 60 ni ayirish.

$$-6x-69=6\times 5x-16$$

30 hosil qilish uchun 6 va 5 ni ko'paytirish.

$$-6x-69=30x-16$$

Ikkala tarafdan 30x ni ayirish.

$$-6x-69-30x=-16$$

-36x ni olish uchun -6x va -30x ni birlashtirish.

$$-36x-69=-16$$

69 ni ikki tarafga qo’shing.

$$-36x=-16+69$$

53 olish uchun -16 va 69'ni qo'shing.

$$-36x=53$$

Ikki tarafini -36 ga bo‘ling.

$$x=\frac{53}{-36}$$

\frac{53}{-36} kasri manfiy belgini olib tashlash bilan -\frac{53}{36} sifatida qayta yozilishi mumkin.

$$x=-\frac{53}{36}$$