2(1/2y-3x)=2y+1/2(3x-1) eching

$$2 ( \frac { 1 } { 2 } y - 3 x ) = 2 y + \frac { 1 } { 2 } ( 3 x - 1 )$$

x uchun yechish

$$x=\frac{1-2y}{15}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 ga \frac{1}{2}y-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-6x=2y+\frac{1}{2}\left(3x-1\right)$$

\frac{1}{2} ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-6x=2y+\frac{3}{2}x-\frac{1}{2}$$

Ikkala tarafdan \frac{3}{2}x ni ayirish.

$$y-6x-\frac{3}{2}x=2y-\frac{1}{2}$$

-\frac{15}{2}x ni olish uchun -6x va -\frac{3}{2}x ni birlashtirish.

$$y-\frac{15}{2}x=2y-\frac{1}{2}$$

Ikkala tarafdan y ni ayirish.

$$-\frac{15}{2}x=2y-\frac{1}{2}-y$$

y ni olish uchun 2y va -y ni birlashtirish.

$$-\frac{15}{2}x=y-\frac{1}{2}$$

Tenglamaning ikki tarafini -\frac{15}{2} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{-\frac{15}{2}x}{-\frac{15}{2}}=\frac{y-\frac{1}{2}}{-\frac{15}{2}}$$

-\frac{15}{2} ga bo'lish -\frac{15}{2} ga ko'paytirishni bekor qiladi.

$$x=\frac{y-\frac{1}{2}}{-\frac{15}{2}}$$

y-\frac{1}{2} ni -\frac{15}{2} ga bo'lish y-\frac{1}{2} ga k'paytirish -\frac{15}{2} ga qaytarish.

$$x=\frac{1-2y}{15}$$

y uchun yechish

$$y=\frac{1-15x}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2 ga \frac{1}{2}y-3x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-6x=2y+\frac{1}{2}\left(3x-1\right)$$

\frac{1}{2} ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$y-6x=2y+\frac{3}{2}x-\frac{1}{2}$$

Ikkala tarafdan 2y ni ayirish.

$$y-6x-2y=\frac{3}{2}x-\frac{1}{2}$$

-y ni olish uchun y va -2y ni birlashtirish.

$$-y-6x=\frac{3}{2}x-\frac{1}{2}$$

6x ni ikki tarafga qo’shing.

$$-y=\frac{3}{2}x-\frac{1}{2}+6x$$

\frac{15}{2}x ni olish uchun \frac{3}{2}x va 6x ni birlashtirish.

$$-y=\frac{15}{2}x-\frac{1}{2}$$

Tenglama standart shaklda.

$$-y=\frac{15x-1}{2}$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-y}{-1}=\frac{15x-1}{-2}$$

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

$$y=\frac{15x-1}{-2}$$

\frac{15x-1}{2} ni -1 ga bo'lish.

$$y=\frac{1-15x}{2}$$