5(4y-x)=5(y+1)-2(x-1/2) eching

$$5 ( 4 y - x ) = 5 ( y + 1 ) - 2 ( x - \frac { 1 } { 2 } )$$

x uchun yechish

$$x=5y-2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

5 ga 4y-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20y-5x=5\left(y+1\right)-2\left(x-\frac{1}{2}\right)$$

5 ga y+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20y-5x=5y+5-2\left(x-\frac{1}{2}\right)$$

-2 ga x-\frac{1}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20y-5x=5y+5-2x+1$$

6 olish uchun 5 va 1'ni qo'shing.

$$20y-5x=5y+6-2x$$

2x ni ikki tarafga qo’shing.

$$20y-5x+2x=5y+6$$

-3x ni olish uchun -5x va 2x ni birlashtirish.

$$20y-3x=5y+6$$

Ikkala tarafdan 20y ni ayirish.

$$-3x=5y+6-20y$$

-15y ni olish uchun 5y va -20y ni birlashtirish.

$$-3x=-15y+6$$

Tenglama standart shaklda.

$$-3x=6-15y$$

Ikki tarafini -3 ga bo‘ling.

$$\frac{-3x}{-3}=\frac{6-15y}{-3}$$

-3 ga bo'lish -3 ga ko'paytirishni bekor qiladi.

$$x=\frac{6-15y}{-3}$$

-15y+6 ni -3 ga bo'lish.

$$x=5y-2$$

y uchun yechish

$$y=\frac{x+2}{5}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

5 ga 4y-x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20y-5x=5\left(y+1\right)-2\left(x-\frac{1}{2}\right)$$

5 ga y+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20y-5x=5y+5-2\left(x-\frac{1}{2}\right)$$

-2 ga x-\frac{1}{2} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$20y-5x=5y+5-2x+1$$

6 olish uchun 5 va 1'ni qo'shing.

$$20y-5x=5y+6-2x$$

Ikkala tarafdan 5y ni ayirish.

$$20y-5x-5y=6-2x$$

15y ni olish uchun 20y va -5y ni birlashtirish.

$$15y-5x=6-2x$$

5x ni ikki tarafga qo’shing.

$$15y=6-2x+5x$$

3x ni olish uchun -2x va 5x ni birlashtirish.

$$15y=6+3x$$

Tenglama standart shaklda.

$$15y=3x+6$$

Ikki tarafini 15 ga bo‘ling.

$$\frac{15y}{15}=\frac{3x+6}{15}$$

15 ga bo'lish 15 ga ko'paytirishni bekor qiladi.

$$y=\frac{3x+6}{15}$$

6+3x ni 15 ga bo'lish.

$$y=\frac{x+2}{5}$$