7(x-1)-6y=5(x+y) eching

$$7(x-1)-6y=5(x+y)$$

x uchun yechish

$$x=\frac{11y+7}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

7 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$7x-7-6y=5\left(x+y\right)$$

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

$$7x-7-6y=5x+5y$$

Ikkala tarafdan 5x ni ayirish.

$$7x-7-6y-5x=5y$$

2x ni olish uchun 7x va -5x ni birlashtirish.

$$2x-7-6y=5y$$

7 ni ikki tarafga qo’shing.

$$2x-6y=5y+7$$

6y ni ikki tarafga qo’shing.

$$2x=5y+7+6y$$

11y ni olish uchun 5y va 6y ni birlashtirish.

$$2x=11y+7$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2x}{2}=\frac{11y+7}{2}$$

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

$$x=\frac{11y+7}{2}$$

y uchun yechish

$$y=\frac{2x-7}{11}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

7 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$7x-7-6y=5\left(x+y\right)$$

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

$$7x-7-6y=5x+5y$$

Ikkala tarafdan 5y ni ayirish.

$$7x-7-6y-5y=5x$$

-11y ni olish uchun -6y va -5y ni birlashtirish.

$$7x-7-11y=5x$$

Ikkala tarafdan 7x ni ayirish.

$$-7-11y=5x-7x$$

-2x ni olish uchun 5x va -7x ni birlashtirish.

$$-7-11y=-2x$$

7 ni ikki tarafga qo’shing.

$$-11y=-2x+7$$

Tenglama standart shaklda.

$$-11y=7-2x$$

Ikki tarafini -11 ga bo‘ling.

$$\frac{-11y}{-11}=\frac{7-2x}{-11}$$

-11 ga bo'lish -11 ga ko'paytirishni bekor qiladi.

$$y=\frac{7-2x}{-11}$$

-2x+7 ni -11 ga bo'lish.

$$y=\frac{2x-7}{11}$$