x+y+xy=1 eching

$$x + y + x y = 1$$

x uchun yechish

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

$$y\neq -1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan y ni ayirish.

$$x+xy=1-y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini 1+y ga bo‘ling.

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

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

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

y uchun yechish

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

$$x\neq -1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x ni ayirish.

$$y+xy=1-x$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini 1+x ga bo‘ling.

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

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

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