y=3x-9/4x eching

$$y = \frac { 3 x - 9 } { 4 x }$$

x uchun yechish

$$x=-\frac{9}{4y-3}$$

$$y\neq \frac{3}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 4x ga ko'paytirish.

$$y\times 4x=3x-9$$

Ikkala tarafdan 3x ni ayirish.

$$y\times 4x-3x=-9$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y\times 4-3\right)x=-9$$

Tenglama standart shaklda.

$$\left(4y-3\right)x=-9$$

Ikki tarafini 4y-3 ga bo‘ling.

$$\frac{\left(4y-3\right)x}{4y-3}=-\frac{9}{4y-3}$$

4y-3 ga bo'lish 4y-3 ga ko'paytirishni bekor qiladi.

$$x=-\frac{9}{4y-3}$$

x qiymati 0 teng bo‘lmaydi.

$$x=-\frac{9}{4y-3}\text{, }x\neq 0$$

y uchun yechish

$$y=\frac{3}{4}-\frac{9}{4x}$$

$$x\neq 0$$