1/2x+1/5=-4(3/4x+5) eching

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

x uchun yechish

$$x = -\frac{202}{35} = -5\frac{27}{35} \approx -5,771428571$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-4 ga \frac{3}{4}x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{1}{2}x+\frac{1}{5}=-4\times \frac{3}{4}x-20$$

-4 ni \frac{3}{4} marotabaga ko'paytirish.

$$\frac{1}{2}x+\frac{1}{5}=-3x-20$$

3x ni ikki tarafga qo’shing.

$$\frac{1}{2}x+\frac{1}{5}+3x=-20$$

\frac{7}{2}x ni olish uchun \frac{1}{2}x va 3x ni birlashtirish.

$$\frac{7}{2}x+\frac{1}{5}=-20$$

Ikkala tarafdan \frac{1}{5} ni ayirish.

$$\frac{7}{2}x=-20-\frac{1}{5}$$

-20 ni -\frac{100}{5} kasrga o‘giring.

$$\frac{7}{2}x=-\frac{100}{5}-\frac{1}{5}$$

-\frac{100}{5} va \frac{1}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{7}{2}x=\frac{-100-1}{5}$$

-101 olish uchun -100 dan 1 ni ayirish.

$$\frac{7}{2}x=-\frac{101}{5}$$

Ikki tarafini \frac{2}{7} va teskari kasri \frac{7}{2} ga ko‘paytiring.

$$x=-\frac{101}{5}\times \frac{2}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{101}{5} ni \frac{2}{7} ga ko‘paytiring.

$$x=\frac{-101\times 2}{5\times 7}$$

\frac{-101\times 2}{5\times 7} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{-202}{35}$$

\frac{-202}{35} kasri manfiy belgini olib tashlash bilan -\frac{202}{35} sifatida qayta yozilishi mumkin.

$$x=-\frac{202}{35}$$