x/3*3+x/4*4+x/6-x5+(x/4-8)*2=504 eching

$$\frac { x } { 3 } \times 3 + \frac { x } { 4 } \times 4 + \frac { x } { 6 } - x 5 + ( \frac { x } { 4 } - 8 ) \cdot 2 = 504$$

x uchun yechish

$$x=\frac{3\left(x_{5}+520\right)}{8}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 3,4,6 ning eng kichik karralisiga ko‘paytiring.

$$4x\times 3+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$12x+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12x+12x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

24x ni olish uchun 12x va 12x ni birlashtirish.

$$24x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

26x ni olish uchun 24x va 2x ni birlashtirish.

$$26x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

24 hosil qilish uchun 12 va 2 ni ko'paytirish.

$$26x-12x_{5}+24\left(\frac{x}{4}-8\right)=6048$$

24 ga \frac{x}{4}-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$26x-12x_{5}+24\times \frac{x}{4}-192=6048$$

24 va 4 ichida eng katta umumiy 4 faktorini bekor qiling.

$$26x-12x_{5}+6x-192=6048$$

32x ni olish uchun 26x va 6x ni birlashtirish.

$$32x-12x_{5}-192=6048$$

12x_{5} ni ikki tarafga qo’shing.

$$32x-192=6048+12x_{5}$$

192 ni ikki tarafga qo’shing.

$$32x=6048+12x_{5}+192$$

6240 olish uchun 6048 va 192'ni qo'shing.

$$32x=6240+12x_{5}$$

Tenglama standart shaklda.

$$32x=12x_{5}+6240$$

Ikki tarafini 32 ga bo‘ling.

$$\frac{32x}{32}=\frac{12x_{5}+6240}{32}$$

32 ga bo'lish 32 ga ko'paytirishni bekor qiladi.

$$x=\frac{12x_{5}+6240}{32}$$

6240+12x_{5} ni 32 ga bo'lish.

$$x=\frac{3x_{5}}{8}+195$$

x_5 uchun yechish

$$x_{5}=\frac{8\left(x-195\right)}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 12 ga, 3,4,6 ning eng kichik karralisiga ko‘paytiring.

$$4x\times 3+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

12 hosil qilish uchun 4 va 3 ni ko'paytirish.

$$12x+3x\times 4+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

12 hosil qilish uchun 3 va 4 ni ko'paytirish.

$$12x+12x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

24x ni olish uchun 12x va 12x ni birlashtirish.

$$24x+2x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

26x ni olish uchun 24x va 2x ni birlashtirish.

$$26x-12x_{5}+12\left(\frac{x}{4}-8\right)\times 2=6048$$

24 hosil qilish uchun 12 va 2 ni ko'paytirish.

$$26x-12x_{5}+24\left(\frac{x}{4}-8\right)=6048$$

24 ga \frac{x}{4}-8 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$26x-12x_{5}+24\times \frac{x}{4}-192=6048$$

24 va 4 ichida eng katta umumiy 4 faktorini bekor qiling.

$$26x-12x_{5}+6x-192=6048$$

32x ni olish uchun 26x va 6x ni birlashtirish.

$$32x-12x_{5}-192=6048$$

Ikkala tarafdan 32x ni ayirish.

$$-12x_{5}-192=6048-32x$$

192 ni ikki tarafga qo’shing.

$$-12x_{5}=6048-32x+192$$

6240 olish uchun 6048 va 192'ni qo'shing.

$$-12x_{5}=6240-32x$$

Ikki tarafini -12 ga bo‘ling.

$$\frac{-12x_{5}}{-12}=\frac{6240-32x}{-12}$$

-12 ga bo'lish -12 ga ko'paytirishni bekor qiladi.

$$x_{5}=\frac{6240-32x}{-12}$$

6240-32x ni -12 ga bo'lish.

$$x_{5}=\frac{8x}{3}-520$$