2bx-ay=ab eching

$$2 b x - a y = a b$$

a uchun yechish (complex solution)

$$\left\{\begin{matrix}a=\frac{2bx}{y+b}\text{, }&b\neq -y\\a\in \mathrm{C}\text{, }&\left(b=0\text{ and }y=0\right)\text{ or }\left(x=0\text{ and }b=-y\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ab ni ayirish.

$$2bx-ay-ab=0$$

Ikkala tarafdan 2bx ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-ay-ab=-2bx$$

a'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-y-b\right)a=-2bx$$

Ikki tarafini -y-b ga bo‘ling.

$$\frac{\left(-y-b\right)a}{-y-b}=-\frac{2bx}{-y-b}$$

-y-b ga bo'lish -y-b ga ko'paytirishni bekor qiladi.

$$a=-\frac{2bx}{-y-b}$$

-2bx ni -y-b ga bo'lish.

$$a=\frac{2bx}{y+b}$$

b uchun yechish (complex solution)

$$\left\{\begin{matrix}b=\frac{ay}{2x-a}\text{, }&x\neq \frac{a}{2}\\b\in \mathrm{C}\text{, }&\left(a=0\text{ and }x=0\right)\text{ or }\left(y=0\text{ and }x=\frac{a}{2}\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ab ni ayirish.

$$2bx-ay-ab=0$$

ay ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$2bx-ab=ay$$

b'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2x-a\right)b=ay$$

Ikki tarafini 2x-a ga bo‘ling.

$$\frac{\left(2x-a\right)b}{2x-a}=\frac{ay}{2x-a}$$

2x-a ga bo'lish 2x-a ga ko'paytirishni bekor qiladi.

$$b=\frac{ay}{2x-a}$$

a uchun yechish

$$\left\{\begin{matrix}a=\frac{2bx}{y+b}\text{, }&b\neq -y\\a\in \mathrm{R}\text{, }&\left(b=0\text{ and }y=0\right)\text{ or }\left(x=0\text{ and }b=-y\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ab ni ayirish.

$$2bx-ay-ab=0$$

Ikkala tarafdan 2bx ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-ay-ab=-2bx$$

a'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-y-b\right)a=-2bx$$

Ikki tarafini -y-b ga bo‘ling.

$$\frac{\left(-y-b\right)a}{-y-b}=-\frac{2bx}{-y-b}$$

-y-b ga bo'lish -y-b ga ko'paytirishni bekor qiladi.

$$a=-\frac{2bx}{-y-b}$$

-2bx ni -y-b ga bo'lish.

$$a=\frac{2bx}{y+b}$$

b uchun yechish

$$\left\{\begin{matrix}b=\frac{ay}{2x-a}\text{, }&x\neq \frac{a}{2}\\b\in \mathrm{R}\text{, }&\left(a=0\text{ and }x=0\right)\text{ or }\left(y=0\text{ and }x=\frac{a}{2}\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ab ni ayirish.

$$2bx-ay-ab=0$$

ay ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$2bx-ab=ay$$

b'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2x-a\right)b=ay$$

Ikki tarafini 2x-a ga bo‘ling.

$$\frac{\left(2x-a\right)b}{2x-a}=\frac{ay}{2x-a}$$

2x-a ga bo'lish 2x-a ga ko'paytirishni bekor qiladi.

$$b=\frac{ay}{2x-a}$$