7(3a-4)-3(4a+5)-(6a+2)=a+8(4a-9)+1 eching

$$7 ( 3 a - 4 ) - 3 ( 4 a + 5 ) - ( 6 a + 2 ) = a + 8 ( 4 a - 9 ) + 1$$

a uchun yechish

$$a=\frac{13}{15}\approx 0,866666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

7 ga 3a-4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$21a-28-3\left(4a+5\right)-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

-3 ga 4a+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$21a-28-12a-15-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

9a ni olish uchun 21a va -12a ni birlashtirish.

$$9a-28-15-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

-43 olish uchun -28 dan 15 ni ayirish.

$$9a-43-\left(6a+2\right)=a+8\left(4a-9\right)+1$$

6a+2 teskarisini topish uchun har birining teskarisini toping.

$$9a-43-6a-2=a+8\left(4a-9\right)+1$$

3a ni olish uchun 9a va -6a ni birlashtirish.

$$3a-43-2=a+8\left(4a-9\right)+1$$

-45 olish uchun -43 dan 2 ni ayirish.

$$3a-45=a+8\left(4a-9\right)+1$$

8 ga 4a-9 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3a-45=a+32a-72+1$$

33a ni olish uchun a va 32a ni birlashtirish.

$$3a-45=33a-72+1$$

-71 olish uchun -72 va 1'ni qo'shing.

$$3a-45=33a-71$$

Ikkala tarafdan 33a ni ayirish.

$$3a-45-33a=-71$$

-30a ni olish uchun 3a va -33a ni birlashtirish.

$$-30a-45=-71$$

45 ni ikki tarafga qo’shing.

$$-30a=-71+45$$

-26 olish uchun -71 va 45'ni qo'shing.

$$-30a=-26$$

Ikki tarafini -30 ga bo‘ling.

$$a=\frac{-26}{-30}$$

\frac{-26}{-30} ulushini -2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{13}{15}$$