10x-3/2-8x+3/9+12x+9/36=-81/4 eching

$$\frac { 10 x - 3 } { 2 } - \frac { 8 x + 3 } { 9 } + \frac { 12 x + 9 } { 36 } = - 8 \frac { 1 } { 4 }$$

x uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 36 ga, 2,9,36,4 ning eng kichik karralisiga ko‘paytiring.

$$18\left(10x-3\right)-4\left(8x+3\right)+12x+9=-9\left(8\times 4+1\right)$$

18 ga 10x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$180x-54-4\left(8x+3\right)+12x+9=-9\left(8\times 4+1\right)$$

-4 ga 8x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$180x-54-32x-12+12x+9=-9\left(8\times 4+1\right)$$

148x ni olish uchun 180x va -32x ni birlashtirish.

$$148x-54-12+12x+9=-9\left(8\times 4+1\right)$$

-66 olish uchun -54 dan 12 ni ayirish.

$$148x-66+12x+9=-9\left(8\times 4+1\right)$$

160x ni olish uchun 148x va 12x ni birlashtirish.

$$160x-66+9=-9\left(8\times 4+1\right)$$

-57 olish uchun -66 va 9'ni qo'shing.

$$160x-57=-9\left(8\times 4+1\right)$$

32 hosil qilish uchun 8 va 4 ni ko'paytirish.

$$160x-57=-9\left(32+1\right)$$

33 olish uchun 32 va 1'ni qo'shing.

$$160x-57=-9\times 33$$

-297 hosil qilish uchun -9 va 33 ni ko'paytirish.

$$160x-57=-297$$

57 ni ikki tarafga qo’shing.

$$160x=-297+57$$

-240 olish uchun -297 va 57'ni qo'shing.

$$160x=-240$$

Ikki tarafini 160 ga bo‘ling.

$$x=\frac{-240}{160}$$

\frac{-240}{160} ulushini 80 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{3}{2}$$