-x=left(2781left(x-263right)+44818left(x-273right)right)left(1/20*85+0024right)-294 eching

$$-x = \left( 2781 \left( x-263 \right) +44818 \left( x-273 \right) \right) \left( \frac{ 1 }{ 20 \cdot 85 } +0024 \right) -294$$

x uchun yechish

$$x = \frac{4488839}{16433} = 273\frac{2630}{16433} \approx 273,160043814$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2781 ga x-263 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x=\left(2781x-731403+44818\left(x-273\right)\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

44818 ga x-273 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x=\left(2781x-731403+44818x-12235314\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

47599x ni olish uchun 2781x va 44818x ni birlashtirish.

$$-x=\left(47599x-731403-12235314\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

-12966717 olish uchun -731403 dan 12235314 ni ayirish.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{20\times 85}+0\times 0\times 24\right)-294$$

1700 hosil qilish uchun 20 va 85 ni ko'paytirish.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\times 0\times 24\right)-294$$

0 hosil qilish uchun 0 va 0 ni ko'paytirish.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\times 24\right)-294$$

0 hosil qilish uchun 0 va 24 ni ko'paytirish.

$$-x=\left(47599x-12966717\right)\left(\frac{1}{1700}+0\right)-294$$

\frac{1}{1700} olish uchun \frac{1}{1700} va 0'ni qo'shing.

$$-x=\left(47599x-12966717\right)\times \frac{1}{1700}-294$$

47599x-12966717 ga \frac{1}{1700} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-x=47599x\times \frac{1}{1700}-12966717\times \frac{1}{1700}-294$$

\frac{47599}{1700} hosil qilish uchun 47599 va \frac{1}{1700} ni ko'paytirish.

$$-x=\frac{47599}{1700}x-12966717\times \frac{1}{1700}-294$$

\frac{-12966717}{1700} hosil qilish uchun -12966717 va \frac{1}{1700} ni ko'paytirish.

$$-x=\frac{47599}{1700}x+\frac{-12966717}{1700}-294$$

\frac{-12966717}{1700} kasri manfiy belgini olib tashlash bilan -\frac{12966717}{1700} sifatida qayta yozilishi mumkin.

$$-x=\frac{47599}{1700}x-\frac{12966717}{1700}-294$$

294 ni \frac{499800}{1700} kasrga o‘giring.

$$-x=\frac{47599}{1700}x-\frac{12966717}{1700}-\frac{499800}{1700}$$

-\frac{12966717}{1700} va \frac{499800}{1700} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-x=\frac{47599}{1700}x+\frac{-12966717-499800}{1700}$$

-13466517 olish uchun -12966717 dan 499800 ni ayirish.

$$-x=\frac{47599}{1700}x-\frac{13466517}{1700}$$

Ikkala tarafdan \frac{47599}{1700}x ni ayirish.

$$-x-\frac{47599}{1700}x=-\frac{13466517}{1700}$$

-\frac{49299}{1700}x ni olish uchun -x va -\frac{47599}{1700}x ni birlashtirish.

$$-\frac{49299}{1700}x=-\frac{13466517}{1700}$$

Ikki tarafini -\frac{1700}{49299} va teskari kasri -\frac{49299}{1700} ga ko‘paytiring.

$$x=-\frac{13466517}{1700}\left(-\frac{1700}{49299}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{13466517}{1700} ni -\frac{1700}{49299} ga ko‘paytiring.

$$x=\frac{-13466517\left(-1700\right)}{1700\times 49299}$$

\frac{-13466517\left(-1700\right)}{1700\times 49299} kasridagi ko‘paytirishlarni bajaring.

$$x=\frac{22893078900}{83808300}$$

\frac{22893078900}{83808300} ulushini 5100 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{4488839}{16433}$$