(2x-1)*(-3y+1)=6 eching

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

x uchun yechish

$$x=-\frac{3y-7}{2\left(1-3y\right)}$$

$$y\neq \frac{1}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-6xy+2x+3y-1=6$$

Ikkala tarafdan 3y ni ayirish.

$$-6xy+2x-1=6-3y$$

1 ni ikki tarafga qo’shing.

$$-6xy+2x=6-3y+1$$

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

$$-6xy+2x=7-3y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-6y+2\right)x=7-3y$$

Tenglama standart shaklda.

$$\left(2-6y\right)x=7-3y$$

Ikki tarafini -6y+2 ga bo‘ling.

$$\frac{\left(2-6y\right)x}{2-6y}=\frac{7-3y}{2-6y}$$

-6y+2 ga bo'lish -6y+2 ga ko'paytirishni bekor qiladi.

$$x=\frac{7-3y}{2-6y}$$

7-3y ni -6y+2 ga bo'lish.

$$x=\frac{7-3y}{2\left(1-3y\right)}$$

y uchun yechish

$$y=-\frac{2x-7}{3\left(1-2x\right)}$$

$$x\neq \frac{1}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-6xy+2x+3y-1=6$$

Ikkala tarafdan 2x ni ayirish.

$$-6xy+3y-1=6-2x$$

1 ni ikki tarafga qo’shing.

$$-6xy+3y=6-2x+1$$

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

$$-6xy+3y=7-2x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-6x+3\right)y=7-2x$$

Tenglama standart shaklda.

$$\left(3-6x\right)y=7-2x$$

Ikki tarafini -6x+3 ga bo‘ling.

$$\frac{\left(3-6x\right)y}{3-6x}=\frac{7-2x}{3-6x}$$

-6x+3 ga bo'lish -6x+3 ga ko'paytirishni bekor qiladi.

$$y=\frac{7-2x}{3-6x}$$

7-2x ni -6x+3 ga bo'lish.

$$y=\frac{7-2x}{3\left(1-2x\right)}$$