2x-3/4-1-3y/2=6y-1/2+3/4 eching

$$\frac{ 2x-3 }{ 4 } - \frac{ 1-3y }{ 2 } = \frac{ 6y-1 }{ 2 } + \frac{ 3 }{ 4 }$$

x uchun yechish

$$x=3\left(y+1\right)$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 4 ga, 4,2 ning eng kichik karralisiga ko‘paytiring.

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

-2 ga 1-3y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-5 olish uchun -3 dan 2 ni ayirish.

$$2x-5+6y=2\left(6y-1\right)+3$$

2 ga 6y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-5+6y=12y-2+3$$

1 olish uchun -2 va 3'ni qo'shing.

$$2x-5+6y=12y+1$$

5 ni ikki tarafga qo’shing.

$$2x+6y=12y+1+5$$

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

$$2x+6y=12y+6$$

Ikkala tarafdan 6y ni ayirish.

$$2x=12y+6-6y$$

6y ni olish uchun 12y va -6y ni birlashtirish.

$$2x=6y+6$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2x}{2}=\frac{6y+6}{2}$$

2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.

$$x=\frac{6y+6}{2}$$

6+6y ni 2 ga bo'lish.

$$x=3y+3$$

y uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 4 ga, 4,2 ning eng kichik karralisiga ko‘paytiring.

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

-2 ga 1-3y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-5 olish uchun -3 dan 2 ni ayirish.

$$2x-5+6y=2\left(6y-1\right)+3$$

2 ga 6y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2x-5+6y=12y-2+3$$

1 olish uchun -2 va 3'ni qo'shing.

$$2x-5+6y=12y+1$$

Ikkala tarafdan 12y ni ayirish.

$$2x-5+6y-12y=1$$

-6y ni olish uchun 6y va -12y ni birlashtirish.

$$2x-5-6y=1$$

Ikkala tarafdan 2x ni ayirish.

$$-5-6y=1-2x$$

5 ni ikki tarafga qo’shing.

$$-6y=1-2x+5$$

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

$$-6y=6-2x$$

Ikki tarafini -6 ga bo‘ling.

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

-6 ga bo'lish -6 ga ko'paytirishni bekor qiladi.

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

6-2x ni -6 ga bo'lish.

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