(4x+2)*(2y-1)=12 eching

$$( 4 x + 2 ) \times ( 2 y - 1 ) = 12$$

x uchun yechish

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

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4x+2 ga 2y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8xy-4x+4y-2=12$$

Ikkala tarafdan 4y ni ayirish.

$$8xy-4x-2=12-4y$$

2 ni ikki tarafga qo’shing.

$$8xy-4x=12-4y+2$$

14 olish uchun 12 va 2'ni qo'shing.

$$8xy-4x=14-4y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(8y-4\right)x=14-4y$$

Ikki tarafini 8y-4 ga bo‘ling.

$$\frac{\left(8y-4\right)x}{8y-4}=\frac{14-4y}{8y-4}$$

8y-4 ga bo'lish 8y-4 ga ko'paytirishni bekor qiladi.

$$x=\frac{14-4y}{8y-4}$$

14-4y ni 8y-4 ga bo'lish.

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

y uchun yechish

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

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4x+2 ga 2y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$8xy-4x+4y-2=12$$

4x ni ikki tarafga qo’shing.

$$8xy+4y-2=12+4x$$

2 ni ikki tarafga qo’shing.

$$8xy+4y=12+4x+2$$

14 olish uchun 12 va 2'ni qo'shing.

$$8xy+4y=14+4x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(8x+4\right)y=14+4x$$

Tenglama standart shaklda.

$$\left(8x+4\right)y=4x+14$$

Ikki tarafini 8x+4 ga bo‘ling.

$$\frac{\left(8x+4\right)y}{8x+4}=\frac{4x+14}{8x+4}$$

8x+4 ga bo'lish 8x+4 ga ko'paytirishni bekor qiladi.

$$y=\frac{4x+14}{8x+4}$$

14+4x ni 8x+4 ga bo'lish.

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