1/3*3+x/4*4+x/6*5+(x/4-8)*2=504 eching

$$\frac { 1 } { 3 } \cdot 3 + \frac { x } { 4 } \cdot 4 + \frac { x } { 6 } \cdot 5 + ( \frac { x } { 4 } - 8 ) \cdot 2 = 504$$

x uchun yechish

$$x = \frac{1557}{7} = 222\frac{3}{7} \approx 222,428571429$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

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

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

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

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

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$12+12x+10x+12\left(\frac{x}{4}-8\right)\times 2=6048$$

22x ni olish uchun 12x va 10x ni birlashtirish.

$$12+22x+12\left(\frac{x}{4}-8\right)\times 2=6048$$

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

$$12+22x+24\left(\frac{x}{4}-8\right)=6048$$

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

$$12+22x+24\times \frac{x}{4}-192=6048$$

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

$$12+22x+6x-192=6048$$

28x ni olish uchun 22x va 6x ni birlashtirish.

$$12+28x-192=6048$$

-180 olish uchun 12 dan 192 ni ayirish.

$$-180+28x=6048$$

180 ni ikki tarafga qo’shing.

$$28x=6048+180$$

6228 olish uchun 6048 va 180'ni qo'shing.

$$28x=6228$$

Ikki tarafini 28 ga bo‘ling.

$$x=\frac{6228}{28}$$

\frac{6228}{28} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{1557}{7}$$