15-x/2/9=15x+2x/2/15 eching

$$\frac { \frac { 15 - x } { 2 } } { 9 } = \frac { \frac { 15 x + 2 x } { 2 } } { 15 }$$

x uchun yechish

$$x = \frac{75}{56} = 1\frac{19}{56} \approx 1,339285714$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 45 ga, 9,15 ning eng kichik karralisiga ko‘paytiring.

$$5\times \frac{15-x}{2}=3\times \frac{15x+2x}{2}$$

5\times \frac{15-x}{2} ni yagona kasrga aylantiring.

$$\frac{5\left(15-x\right)}{2}=3\times \frac{15x+2x}{2}$$

17x ni olish uchun 15x va 2x ni birlashtirish.

$$\frac{5\left(15-x\right)}{2}=3\times \frac{17x}{2}$$

3\times \frac{17x}{2} ni yagona kasrga aylantiring.

$$\frac{5\left(15-x\right)}{2}=\frac{3\times 17x}{2}$$

5 ga 15-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{75-5x}{2}=\frac{3\times 17x}{2}$$

\frac{75}{2}-\frac{5}{2}x natijani olish uchun 75-5x ning har bir ifodasini 2 ga bo‘ling.

$$\frac{75}{2}-\frac{5}{2}x=\frac{3\times 17x}{2}$$

51 hosil qilish uchun 3 va 17 ni ko'paytirish.

$$\frac{75}{2}-\frac{5}{2}x=\frac{51x}{2}$$

Ikkala tarafdan \frac{51x}{2} ni ayirish.

$$\frac{75}{2}-\frac{5}{2}x-\frac{51x}{2}=0$$

\frac{75}{2} va \frac{51x}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{75+51x}{2}-\frac{5}{2}x=0$$

Tenglamaning ikkala tarafini 2 ga ko'paytirish.

$$75+51x-5x=0$$

Shartlarni qayta saralash.

$$-5x+51x+75=0$$

46x ni olish uchun -5x va 51x ni birlashtirish.

$$46x+75=0$$

Ikkala tarafdan 75 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$46x=-75$$

Ikki tarafini 46 ga bo‘ling.

$$x=\frac{-75}{46}$$

\frac{-75}{46} kasri manfiy belgini olib tashlash bilan -\frac{75}{46} sifatida qayta yozilishi mumkin.

$$x=-\frac{75}{46}$$