y=x-5/2x-4 eching

$$y = \frac { x - 5 } { 2 x - 4 }$$

x uchun yechish

$$x=-\frac{5-4y}{2y-1}$$

$$y\neq \frac{1}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x-2\right) ga ko'paytirish.

$$y\times 2\left(x-2\right)=x-5$$

y\times 2 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2yx-2y\times 2=x-5$$

-4 hosil qilish uchun -2 va 2 ni ko'paytirish.

$$2yx-4y=x-5$$

Ikkala tarafdan x ni ayirish.

$$2yx-4y-x=-5$$

4y ni ikki tarafga qo’shing.

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

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2y-1\right)x=-5+4y$$

Tenglama standart shaklda.

$$\left(2y-1\right)x=4y-5$$

Ikki tarafini 2y-1 ga bo‘ling.

$$\frac{\left(2y-1\right)x}{2y-1}=\frac{4y-5}{2y-1}$$

2y-1 ga bo'lish 2y-1 ga ko'paytirishni bekor qiladi.

$$x=\frac{4y-5}{2y-1}$$

x qiymati 2 teng bo‘lmaydi.

$$x=\frac{4y-5}{2y-1}\text{, }x\neq 2$$

y uchun yechish

$$y=-\frac{5-x}{2\left(x-2\right)}$$

$$x\neq 2$$