xy-1/2-6x-1/3=10 eching

$$\frac { x y - 1 } { 2 } - \frac { 6 x - 1 } { 3 } = 10$$

x uchun yechish

$$x=\frac{61}{3\left(y-4\right)}$$

$$y\neq 4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 2,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(xy-1\right)-2\left(6x-1\right)=60$$

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

$$3xy-3-2\left(6x-1\right)=60$$

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

$$3xy-3-12x+2=60$$

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

$$3xy-1-12x=60$$

1 ni ikki tarafga qo’shing.

$$3xy-12x=60+1$$

61 olish uchun 60 va 1'ni qo'shing.

$$3xy-12x=61$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(3y-12\right)x=61$$

Ikki tarafini 3y-12 ga bo‘ling.

$$\frac{\left(3y-12\right)x}{3y-12}=\frac{61}{3y-12}$$

3y-12 ga bo'lish 3y-12 ga ko'paytirishni bekor qiladi.

$$x=\frac{61}{3y-12}$$

61 ni 3y-12 ga bo'lish.

$$x=\frac{61}{3\left(y-4\right)}$$

y uchun yechish

$$y=4+\frac{61}{3x}$$

$$x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 2,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(xy-1\right)-2\left(6x-1\right)=60$$

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

$$3xy-3-2\left(6x-1\right)=60$$

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

$$3xy-3-12x+2=60$$

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

$$3xy-1-12x=60$$

1 ni ikki tarafga qo’shing.

$$3xy-12x=60+1$$

61 olish uchun 60 va 1'ni qo'shing.

$$3xy-12x=61$$

12x ni ikki tarafga qo’shing.

$$3xy=61+12x$$

Tenglama standart shaklda.

$$3xy=12x+61$$

Ikki tarafini 3x ga bo‘ling.

$$\frac{3xy}{3x}=\frac{12x+61}{3x}$$

3x ga bo'lish 3x ga ko'paytirishni bekor qiladi.

$$y=\frac{12x+61}{3x}$$

61+12x ni 3x ga bo'lish.

$$y=4+\frac{61}{3x}$$