5-2/5(x+24)=-3/4(15+x) eching

$$5- \frac{ 2 }{ 5 } (x+24)=- \frac{ 3 }{ 4 } (15+x)$$

x uchun yechish

$$x=-19$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

-\frac{2}{5} ga x+24 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$5-\frac{2}{5}x-\frac{2}{5}\times 24=-\frac{3}{4}\left(15+x\right)$$

-\frac{2}{5}\times 24 ni yagona kasrga aylantiring.

$$5-\frac{2}{5}x+\frac{-2\times 24}{5}=-\frac{3}{4}\left(15+x\right)$$

-48 hosil qilish uchun -2 va 24 ni ko'paytirish.

$$5-\frac{2}{5}x+\frac{-48}{5}=-\frac{3}{4}\left(15+x\right)$$

\frac{-48}{5} kasri manfiy belgini olib tashlash bilan -\frac{48}{5} sifatida qayta yozilishi mumkin.

$$5-\frac{2}{5}x-\frac{48}{5}=-\frac{3}{4}\left(15+x\right)$$

5 ni \frac{25}{5} kasrga o‘giring.

$$\frac{25}{5}-\frac{2}{5}x-\frac{48}{5}=-\frac{3}{4}\left(15+x\right)$$

\frac{25}{5} va \frac{48}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{25-48}{5}-\frac{2}{5}x=-\frac{3}{4}\left(15+x\right)$$

-23 olish uchun 25 dan 48 ni ayirish.

$$-\frac{23}{5}-\frac{2}{5}x=-\frac{3}{4}\left(15+x\right)$$

-\frac{3}{4} ga 15+x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-\frac{23}{5}-\frac{2}{5}x=-\frac{3}{4}\times 15-\frac{3}{4}x$$

-\frac{3}{4}\times 15 ni yagona kasrga aylantiring.

$$-\frac{23}{5}-\frac{2}{5}x=\frac{-3\times 15}{4}-\frac{3}{4}x$$

-45 hosil qilish uchun -3 va 15 ni ko'paytirish.

$$-\frac{23}{5}-\frac{2}{5}x=\frac{-45}{4}-\frac{3}{4}x$$

\frac{-45}{4} kasri manfiy belgini olib tashlash bilan -\frac{45}{4} sifatida qayta yozilishi mumkin.

$$-\frac{23}{5}-\frac{2}{5}x=-\frac{45}{4}-\frac{3}{4}x$$

\frac{3}{4}x ni ikki tarafga qo’shing.

$$-\frac{23}{5}-\frac{2}{5}x+\frac{3}{4}x=-\frac{45}{4}$$

\frac{7}{20}x ni olish uchun -\frac{2}{5}x va \frac{3}{4}x ni birlashtirish.

$$-\frac{23}{5}+\frac{7}{20}x=-\frac{45}{4}$$

\frac{23}{5} ni ikki tarafga qo’shing.

$$\frac{7}{20}x=-\frac{45}{4}+\frac{23}{5}$$

4 va 5 ning eng kichik umumiy karralisi 20 ga teng. -\frac{45}{4} va \frac{23}{5} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{7}{20}x=-\frac{225}{20}+\frac{92}{20}$$

-\frac{225}{20} va \frac{92}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7}{20}x=\frac{-225+92}{20}$$

-133 olish uchun -225 va 92'ni qo'shing.

$$\frac{7}{20}x=-\frac{133}{20}$$

Ikki tarafini \frac{20}{7} va teskari kasri \frac{7}{20} ga ko‘paytiring.

$$x=-\frac{133}{20}\times \frac{20}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{133}{20} ni \frac{20}{7} ga ko‘paytiring.

$$x=\frac{-133\times 20}{20\times 7}$$

Surat va maxrajdagi ikkala 20 ni qisqartiring.

$$x=\frac{-133}{7}$$

-19 ni olish uchun -133 ni 7 ga bo‘ling.

$$x=-19$$