80(y)+120(x)+500(2/3(y))-35000=0 eching

$$80(y)+120(x)+500( \frac{ 2 }{ 3 } (y))-35000=0$$

x uchun yechish

$$x=-\frac{31y}{9}+\frac{875}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1000}{3} hosil qilish uchun 500 va \frac{2}{3} ni ko'paytirish.

$$80y+120x+\frac{1000}{3}y-35000=0$$

\frac{1240}{3}y ni olish uchun 80y va \frac{1000}{3}y ni birlashtirish.

$$\frac{1240}{3}y+120x-35000=0$$

Ikkala tarafdan \frac{1240}{3}y ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$120x-35000=-\frac{1240}{3}y$$

35000 ni ikki tarafga qo’shing.

$$120x=-\frac{1240}{3}y+35000$$

Tenglama standart shaklda.

$$120x=-\frac{1240y}{3}+35000$$

Ikki tarafini 120 ga bo‘ling.

$$\frac{120x}{120}=\frac{-\frac{1240y}{3}+35000}{120}$$

120 ga bo'lish 120 ga ko'paytirishni bekor qiladi.

$$x=\frac{-\frac{1240y}{3}+35000}{120}$$

-\frac{1240y}{3}+35000 ni 120 ga bo'lish.

$$x=-\frac{31y}{9}+\frac{875}{3}$$

y uchun yechish

$$y=\frac{2625-9x}{31}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{1000}{3} hosil qilish uchun 500 va \frac{2}{3} ni ko'paytirish.

$$80y+120x+\frac{1000}{3}y-35000=0$$

\frac{1240}{3}y ni olish uchun 80y va \frac{1000}{3}y ni birlashtirish.

$$\frac{1240}{3}y+120x-35000=0$$

Ikkala tarafdan 120x ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$\frac{1240}{3}y-35000=-120x$$

35000 ni ikki tarafga qo’shing.

$$\frac{1240}{3}y=-120x+35000$$

Tenglama standart shaklda.

$$\frac{1240}{3}y=35000-120x$$

Tenglamaning ikki tarafini \frac{1240}{3} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{1240}{3}y}{\frac{1240}{3}}=\frac{35000-120x}{\frac{1240}{3}}$$

\frac{1240}{3} ga bo'lish \frac{1240}{3} ga ko'paytirishni bekor qiladi.

$$y=\frac{35000-120x}{\frac{1240}{3}}$$

-120x+35000 ni \frac{1240}{3} ga bo'lish -120x+35000 ga k'paytirish \frac{1240}{3} ga qaytarish.

$$y=\frac{2625-9x}{31}$$