20(100-x)+150(100-y)=15100 eching

$$20(100-x)+150(100-y)=15100$$

x uchun yechish

$$x=-\frac{15y}{2}+95$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

20 ga 100-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2000-20x+150\left(100-y\right)=15100$$

150 ga 100-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2000-20x+15000-150y=15100$$

17000 olish uchun 2000 va 15000'ni qo'shing.

$$17000-20x-150y=15100$$

Ikkala tarafdan 17000 ni ayirish.

$$-20x-150y=15100-17000$$

-1900 olish uchun 15100 dan 17000 ni ayirish.

$$-20x-150y=-1900$$

150y ni ikki tarafga qo’shing.

$$-20x=-1900+150y$$

Tenglama standart shaklda.

$$-20x=150y-1900$$

Ikki tarafini -20 ga bo‘ling.

$$\frac{-20x}{-20}=\frac{150y-1900}{-20}$$

-20 ga bo'lish -20 ga ko'paytirishni bekor qiladi.

$$x=\frac{150y-1900}{-20}$$

-1900+150y ni -20 ga bo'lish.

$$x=-\frac{15y}{2}+95$$

y uchun yechish

$$y=-\frac{2x}{15}+\frac{38}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

20 ga 100-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2000-20x+150\left(100-y\right)=15100$$

150 ga 100-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2000-20x+15000-150y=15100$$

17000 olish uchun 2000 va 15000'ni qo'shing.

$$17000-20x-150y=15100$$

Ikkala tarafdan 17000 ni ayirish.

$$-20x-150y=15100-17000$$

-1900 olish uchun 15100 dan 17000 ni ayirish.

$$-20x-150y=-1900$$

20x ni ikki tarafga qo’shing.

$$-150y=-1900+20x$$

Tenglama standart shaklda.

$$-150y=20x-1900$$

Ikki tarafini -150 ga bo‘ling.

$$\frac{-150y}{-150}=\frac{20x-1900}{-150}$$

-150 ga bo'lish -150 ga ko'paytirishni bekor qiladi.

$$y=\frac{20x-1900}{-150}$$

-1900+20x ni -150 ga bo'lish.

$$y=-\frac{2x}{15}+\frac{38}{3}$$