2(x-y+1)+4x=3y+4 eching

$$2 ( x - y + 1 ) + 4 x = 3 y + 4$$

x uchun yechish

$$x=\frac{5y}{6}+\frac{1}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2x-2y+2+4x=3y+4$$

6x ni olish uchun 2x va 4x ni birlashtirish.

$$6x-2y+2=3y+4$$

2y ni ikki tarafga qo’shing.

$$6x+2=3y+4+2y$$

5y ni olish uchun 3y va 2y ni birlashtirish.

$$6x+2=5y+4$$

Ikkala tarafdan 2 ni ayirish.

$$6x=5y+4-2$$

2 olish uchun 4 dan 2 ni ayirish.

$$6x=5y+2$$

Ikki tarafini 6 ga bo‘ling.

$$\frac{6x}{6}=\frac{5y+2}{6}$$

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

$$x=\frac{5y+2}{6}$$

5y+2 ni 6 ga bo'lish.

$$x=\frac{5y}{6}+\frac{1}{3}$$

y uchun yechish

$$y=\frac{6x-2}{5}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$2x-2y+2+4x=3y+4$$

6x ni olish uchun 2x va 4x ni birlashtirish.

$$6x-2y+2=3y+4$$

Ikkala tarafdan 3y ni ayirish.

$$6x-2y+2-3y=4$$

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

$$6x-5y+2=4$$

Ikkala tarafdan 6x ni ayirish.

$$-5y+2=4-6x$$

Ikkala tarafdan 2 ni ayirish.

$$-5y=4-6x-2$$

2 olish uchun 4 dan 2 ni ayirish.

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

Ikki tarafini -5 ga bo‘ling.

$$\frac{-5y}{-5}=\frac{2-6x}{-5}$$

-5 ga bo'lish -5 ga ko'paytirishni bekor qiladi.

$$y=\frac{2-6x}{-5}$$

2-6x ni -5 ga bo'lish.

$$y=\frac{6x-2}{5}$$