(x-4)(6div3600)=(x-67)(48div3600) eching

$$(x-4)(6 \div 3600)=(x-67)(48 \div 3600)$$

x uchun yechish

$$x=76$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{6}{3600} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(x-4\right)\times \frac{1}{600}=\left(x-67\right)\times \frac{48}{3600}$$

x-4 ga \frac{1}{600} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x\times \frac{1}{600}-4\times \frac{1}{600}=\left(x-67\right)\times \frac{48}{3600}$$

\frac{-4}{600} hosil qilish uchun -4 va \frac{1}{600} ni ko'paytirish.

$$x\times \frac{1}{600}+\frac{-4}{600}=\left(x-67\right)\times \frac{48}{3600}$$

\frac{-4}{600} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\times \frac{1}{600}-\frac{1}{150}=\left(x-67\right)\times \frac{48}{3600}$$

\frac{48}{3600} ulushini 48 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x\times \frac{1}{600}-\frac{1}{150}=\left(x-67\right)\times \frac{1}{75}$$

x-67 ga \frac{1}{75} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$x\times \frac{1}{600}-\frac{1}{150}=x\times \frac{1}{75}-67\times \frac{1}{75}$$

\frac{-67}{75} hosil qilish uchun -67 va \frac{1}{75} ni ko'paytirish.

$$x\times \frac{1}{600}-\frac{1}{150}=x\times \frac{1}{75}+\frac{-67}{75}$$

\frac{-67}{75} kasri manfiy belgini olib tashlash bilan -\frac{67}{75} sifatida qayta yozilishi mumkin.

$$x\times \frac{1}{600}-\frac{1}{150}=x\times \frac{1}{75}-\frac{67}{75}$$

Ikkala tarafdan x\times \frac{1}{75} ni ayirish.

$$x\times \frac{1}{600}-\frac{1}{150}-x\times \frac{1}{75}=-\frac{67}{75}$$

-\frac{7}{600}x ni olish uchun x\times \frac{1}{600} va -x\times \frac{1}{75} ni birlashtirish.

$$-\frac{7}{600}x-\frac{1}{150}=-\frac{67}{75}$$

\frac{1}{150} ni ikki tarafga qo’shing.

$$-\frac{7}{600}x=-\frac{67}{75}+\frac{1}{150}$$

75 va 150 ning eng kichik umumiy karralisi 150 ga teng. -\frac{67}{75} va \frac{1}{150} ni 150 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{600}x=-\frac{134}{150}+\frac{1}{150}$$

-\frac{134}{150} va \frac{1}{150} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{7}{600}x=\frac{-134+1}{150}$$

-133 olish uchun -134 va 1'ni qo'shing.

$$-\frac{7}{600}x=-\frac{133}{150}$$

Ikki tarafini -\frac{600}{7} va teskari kasri -\frac{7}{600} ga ko‘paytiring.

$$x=-\frac{133}{150}\left(-\frac{600}{7}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{133}{150} ni -\frac{600}{7} ga ko‘paytiring.

$$x=\frac{-133\left(-600\right)}{150\times 7}$$

\frac{-133\left(-600\right)}{150\times 7} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{79800}{1050}$$

76 ni olish uchun 79800 ni 1050 ga bo‘ling.

$$x=76$$