x-1/2-x-2/3-x-3/4=-x-5/5 eching

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

x uchun yechish

$$x=\frac{5}{7}\approx 0,714285714$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 60 ga, 2,3,4,5 ning eng kichik karralisiga ko‘paytiring.

$$30\left(x-1\right)-20\left(x-2\right)-15\left(x-3\right)=-12\left(x-5\right)$$

30 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$30x-30-20\left(x-2\right)-15\left(x-3\right)=-12\left(x-5\right)$$

-20 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$30x-30-20x+40-15\left(x-3\right)=-12\left(x-5\right)$$

10x ni olish uchun 30x va -20x ni birlashtirish.

$$10x-30+40-15\left(x-3\right)=-12\left(x-5\right)$$

10 olish uchun -30 va 40'ni qo'shing.

$$10x+10-15\left(x-3\right)=-12\left(x-5\right)$$

-15 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$10x+10-15x+45=-12\left(x-5\right)$$

-5x ni olish uchun 10x va -15x ni birlashtirish.

$$-5x+10+45=-12\left(x-5\right)$$

55 olish uchun 10 va 45'ni qo'shing.

$$-5x+55=-12\left(x-5\right)$$

-12 ga x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-5x+55=-12x+60$$

12x ni ikki tarafga qo’shing.

$$-5x+55+12x=60$$

7x ni olish uchun -5x va 12x ni birlashtirish.

$$7x+55=60$$

Ikkala tarafdan 55 ni ayirish.

$$7x=60-55$$

5 olish uchun 60 dan 55 ni ayirish.

$$7x=5$$

Ikki tarafini 7 ga bo‘ling.

$$x=\frac{5}{7}$$