y=5x+1/2x-4 eching

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

x uchun yechish

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

$$y\neq \frac{5}{2}$$

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.

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

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

$$2yx-2y\times 2=5x+1$$

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

$$2yx-4y=5x+1$$

Ikkala tarafdan 5x ni ayirish.

$$2yx-4y-5x=1$$

4y ni ikki tarafga qo’shing.

$$2yx-5x=1+4y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

Ikki tarafini 2y-5 ga bo‘ling.

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

2y-5 ga bo'lish 2y-5 ga ko'paytirishni bekor qiladi.

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

x qiymati 2 teng bo‘lmaydi.

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

y uchun yechish

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

$$x\neq 2$$