y=3/2x+1 eching

$$y = \frac { 3 } { 2 x + 1 }$$

x uchun yechish

$$x=-\frac{1}{2}+\frac{3}{2y}$$

$$y\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati -\frac{1}{2} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2x+1 ga ko'paytirish.

$$y\left(2x+1\right)=3$$

y ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2yx+y=3$$

Ikkala tarafdan y ni ayirish.

$$2yx=3-y$$

Ikki tarafini 2y ga bo‘ling.

$$\frac{2yx}{2y}=\frac{3-y}{2y}$$

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

$$x=\frac{3-y}{2y}$$

3-y ni 2y ga bo'lish.

$$x=-\frac{1}{2}+\frac{3}{2y}$$

x qiymati -\frac{1}{2} teng bo‘lmaydi.

$$x=-\frac{1}{2}+\frac{3}{2y}\text{, }x\neq -\frac{1}{2}$$

y uchun yechish

$$y=\frac{3}{2x+1}$$

$$x\neq -\frac{1}{2}$$