x+5y=x+y-30 eching

$$x + 5 y = x + y - 30$$

y uchun yechish

$$y = -\frac{15}{2} = -7\frac{1}{2} = -7,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan y ni ayirish.

$$x+5y-y=x-30$$

4y ni olish uchun 5y va -y ni birlashtirish.

$$x+4y=x-30$$

Ikkala tarafdan x ni ayirish.

$$4y=x-30-x$$

0 ni olish uchun x va -x ni birlashtirish.

$$4y=-30$$

Ikki tarafini 4 ga bo‘ling.

$$y=\frac{-30}{4}$$

\frac{-30}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$y=-\frac{15}{2}$$

x uchun yechish (complex solution)

$$x\in \mathrm{C}$$

$$y = -\frac{15}{2} = -7\frac{1}{2} = -7,5$$

x uchun yechish

$$x\in \mathrm{R}$$

$$y = -\frac{15}{2} = -7\frac{1}{2} = -7,5$$