6(x-11)/5=5(x+11)/6 eching

$$\frac { 6 ( x - 11 ) } { 5 } = \frac { 5 ( x + 11 ) } { 6 }$$

x uchun yechish

$$x=61$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 30 ga, 5,6 ning eng kichik karralisiga ko‘paytiring.

$$6\times 6\left(x-11\right)=5\times 5\left(x+11\right)$$

36 hosil qilish uchun 6 va 6 ni ko'paytirish.

$$36\left(x-11\right)=5\times 5\left(x+11\right)$$

36 ga x-11 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$36x-396=5\times 5\left(x+11\right)$$

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$36x-396=25\left(x+11\right)$$

25 ga x+11 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$36x-396=25x+275$$

Ikkala tarafdan 25x ni ayirish.

$$36x-396-25x=275$$

11x ni olish uchun 36x va -25x ni birlashtirish.

$$11x-396=275$$

396 ni ikki tarafga qo’shing.

$$11x=275+396$$

671 olish uchun 275 va 396'ni qo'shing.

$$11x=671$$

Ikki tarafini 11 ga bo‘ling.

$$x=\frac{671}{11}$$

61 ni olish uchun 671 ni 11 ga bo‘ling.

$$x=61$$