x=1/2^2+1/y eching

$$x = \frac{ 1 }{ { 2 }^{ 2 } } + \frac{ 1 }{ y }$$

y uchun yechish

$$y=-\frac{4}{1-4x}$$

$$x\neq \frac{1}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini y ga ko'paytirish.

$$xy=\frac{1}{4}y+1$$

Ikkala tarafdan \frac{1}{4}y ni ayirish.

$$xy-\frac{1}{4}y=1$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(x-\frac{1}{4}\right)y=1$$

Ikki tarafini x-\frac{1}{4} ga bo‘ling.

$$\frac{\left(x-\frac{1}{4}\right)y}{x-\frac{1}{4}}=\frac{1}{x-\frac{1}{4}}$$

x-\frac{1}{4} ga bo'lish x-\frac{1}{4} ga ko'paytirishni bekor qiladi.

$$y=\frac{1}{x-\frac{1}{4}}$$

1 ni x-\frac{1}{4} ga bo'lish.

$$y=\frac{4}{4x-1}$$

y qiymati 0 teng bo‘lmaydi.

$$y=\frac{4}{4x-1}\text{, }y\neq 0$$

x uchun yechish

$$x=\frac{1}{4}+\frac{1}{y}$$

$$y\neq 0$$