x^2+y^2-2x-8y+17=x^2+y^2+2x-4y+5 eching

$$x ^ { 2 } + y ^ { 2 } - 2 x - 8 y + 17 = x ^ { 2 } + y ^ { 2 } + 2 x - 4 y + 5$$

x uchun yechish

$$x=3-y$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}+y^{2}-2x-8y+17-x^{2}=y^{2}+2x-4y+5$$

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$y^{2}-2x-8y+17=y^{2}+2x-4y+5$$

Ikkala tarafdan 2x ni ayirish.

$$y^{2}-2x-8y+17-2x=y^{2}-4y+5$$

-4x ni olish uchun -2x va -2x ni birlashtirish.

$$y^{2}-4x-8y+17=y^{2}-4y+5$$

Ikkala tarafdan y^{2} ni ayirish.

$$-4x-8y+17=y^{2}-4y+5-y^{2}$$

0 ni olish uchun y^{2} va -y^{2} ni birlashtirish.

$$-4x-8y+17=-4y+5$$

8y ni ikki tarafga qo’shing.

$$-4x+17=-4y+5+8y$$

4y ni olish uchun -4y va 8y ni birlashtirish.

$$-4x+17=4y+5$$

Ikkala tarafdan 17 ni ayirish.

$$-4x=4y+5-17$$

-12 olish uchun 5 dan 17 ni ayirish.

$$-4x=4y-12$$

Ikki tarafini -4 ga bo‘ling.

$$\frac{-4x}{-4}=\frac{4y-12}{-4}$$

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

$$x=\frac{4y-12}{-4}$$

-12+4y ni -4 ga bo'lish.

$$x=3-y$$

y uchun yechish

$$y=3-x$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan y^{2} ni ayirish.

$$x^{2}+y^{2}-2x-8y+17-y^{2}=x^{2}+2x-4y+5$$

0 ni olish uchun y^{2} va -y^{2} ni birlashtirish.

$$x^{2}-2x-8y+17=x^{2}+2x-4y+5$$

4y ni ikki tarafga qo’shing.

$$x^{2}-2x-8y+17+4y=x^{2}+2x+5$$

-4y ni olish uchun -8y va 4y ni birlashtirish.

$$x^{2}-2x-4y+17=x^{2}+2x+5$$

Ikkala tarafdan x^{2} ni ayirish.

$$-2x-4y+17=x^{2}+2x+5-x^{2}$$

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$-2x-4y+17=2x+5$$

2x ni ikki tarafga qo’shing.

$$-4y+17=2x+5+2x$$

4x ni olish uchun 2x va 2x ni birlashtirish.

$$-4y+17=4x+5$$

Ikkala tarafdan 17 ni ayirish.

$$-4y=4x+5-17$$

-12 olish uchun 5 dan 17 ni ayirish.

$$-4y=4x-12$$

Ikki tarafini -4 ga bo‘ling.

$$\frac{-4y}{-4}=\frac{4x-12}{-4}$$

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

$$y=\frac{4x-12}{-4}$$

-12+4x ni -4 ga bo'lish.

$$y=3-x$$