4/x-4/y=4 eching

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

x uchun yechish

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

$$y\neq 0\text{ and }y\neq -1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini xy ga, x,y ning eng kichik karralisiga ko‘paytiring.

$$y\times 4-x\times 4=4xy$$

Ikkala tarafdan 4xy ni ayirish.

$$y\times 4-x\times 4-4xy=0$$

Ikkala tarafdan y\times 4 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-x\times 4-4xy=-y\times 4$$

-4 hosil qilish uchun -1 va 4 ni ko'paytirish.

$$-4x-4xy=-y\times 4$$

-4 hosil qilish uchun -1 va 4 ni ko'paytirish.

$$-4x-4xy=-4y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-4-4y\right)x=-4y$$

Tenglama standart shaklda.

$$\left(-4y-4\right)x=-4y$$

Ikki tarafini -4-4y ga bo‘ling.

$$\frac{\left(-4y-4\right)x}{-4y-4}=-\frac{4y}{-4y-4}$$

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

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

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

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

x qiymati 0 teng bo‘lmaydi.

$$x=\frac{y}{y+1}\text{, }x\neq 0$$

y uchun yechish

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

$$x\neq 0\text{ and }x\neq 1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini xy ga, x,y ning eng kichik karralisiga ko‘paytiring.

$$y\times 4-x\times 4=4xy$$

Ikkala tarafdan 4xy ni ayirish.

$$y\times 4-x\times 4-4xy=0$$

x\times 4 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$y\times 4-4xy=x\times 4$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(4-4x\right)y=x\times 4$$

Tenglama standart shaklda.

$$\left(4-4x\right)y=4x$$

Ikki tarafini 4-4x ga bo‘ling.

$$\frac{\left(4-4x\right)y}{4-4x}=\frac{4x}{4-4x}$$

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

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

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

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

y qiymati 0 teng bo‘lmaydi.

$$y=\frac{x}{1-x}\text{, }y\neq 0$$