x-y+x*y=-2 eching

$$x - y + x \cdot y = - 2$$

x uchun yechish

$$x=-\frac{2-y}{y+1}$$

$$y\neq -1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y ni ikki tarafga qo’shing.

$$x+xy=-2+y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1+y\right)x=-2+y$$

Tenglama standart shaklda.

$$\left(y+1\right)x=y-2$$

Ikki tarafini 1+y ga bo‘ling.

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

1+y ga bo'lish 1+y ga ko'paytirishni bekor qiladi.

$$x=\frac{y-2}{y+1}$$

y uchun yechish

$$y=-\frac{x+2}{x-1}$$

$$x\neq 1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

$$-y+xy=-2-x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-1+x\right)y=-2-x$$

Tenglama standart shaklda.

$$\left(x-1\right)y=-x-2$$

Ikki tarafini -1+x ga bo‘ling.

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

-1+x ga bo'lish -1+x ga ko'paytirishni bekor qiladi.

$$y=\frac{-x-2}{x-1}$$

-2-x ni -1+x ga bo'lish.

$$y=-\frac{x+2}{x-1}$$