x-2/3left(-1-15/2-xright)=x/3+1 eching

$$x- \frac{ 2 }{ 3 } \left( -1- \frac{ 15 }{ 2 } -x \right) = \frac{ x }{ 3 } +1$$

x uchun yechish

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 3,2 ning eng kichik karralisiga ko‘paytiring.

$$6x-4\left(-1-\frac{15}{2}-x\right)=2x+6$$

-1 ni -\frac{2}{2} kasrga o‘giring.

$$6x-4\left(-\frac{2}{2}-\frac{15}{2}-x\right)=2x+6$$

-\frac{2}{2} va \frac{15}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$6x-4\left(\frac{-2-15}{2}-x\right)=2x+6$$

-17 olish uchun -2 dan 15 ni ayirish.

$$6x-4\left(-\frac{17}{2}-x\right)=2x+6$$

-4 ga -\frac{17}{2}-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$6x-4\left(-\frac{17}{2}\right)+4x=2x+6$$

-4\left(-\frac{17}{2}\right) ni yagona kasrga aylantiring.

$$6x+\frac{-4\left(-17\right)}{2}+4x=2x+6$$

68 hosil qilish uchun -4 va -17 ni ko'paytirish.

$$6x+\frac{68}{2}+4x=2x+6$$

34 ni olish uchun 68 ni 2 ga bo‘ling.

$$6x+34+4x=2x+6$$

10x ni olish uchun 6x va 4x ni birlashtirish.

$$10x+34=2x+6$$

Ikkala tarafdan 2x ni ayirish.

$$10x+34-2x=6$$

8x ni olish uchun 10x va -2x ni birlashtirish.

$$8x+34=6$$

Ikkala tarafdan 34 ni ayirish.

$$8x=6-34$$

-28 olish uchun 6 dan 34 ni ayirish.

$$8x=-28$$

Ikki tarafini 8 ga bo‘ling.

$$x=\frac{-28}{8}$$

\frac{-28}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=-\frac{7}{2}$$