4-y/30-x=y-10/x-35 eching

$$\frac{ 4-y }{ 30-x } = \frac{ y-10 }{ x-35 }$$

x uchun yechish

$$x=\frac{5\left(y+32\right)}{6}$$

$$y\neq 4\text{ and }y\neq 10$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x qiymati 30,35 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(x-35\right)\left(x-30\right) ga, 30-x,x-35 ning eng kichik karralisiga ko‘paytiring.

$$\left(35-x\right)\left(4-y\right)=\left(x-30\right)\left(y-10\right)$$

35-x ga 4-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$140-35y-4x+yx=\left(x-30\right)\left(y-10\right)$$

x-30 ga y-10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$140-35y-4x+yx=xy-10x-30y+300$$

Ikkala tarafdan xy ni ayirish.

$$140-35y-4x+yx-xy=-10x-30y+300$$

0 ni olish uchun yx va -xy ni birlashtirish.

$$140-35y-4x=-10x-30y+300$$

10x ni ikki tarafga qo’shing.

$$140-35y-4x+10x=-30y+300$$

6x ni olish uchun -4x va 10x ni birlashtirish.

$$140-35y+6x=-30y+300$$

Ikkala tarafdan 140 ni ayirish.

$$-35y+6x=-30y+300-140$$

160 olish uchun 300 dan 140 ni ayirish.

$$-35y+6x=-30y+160$$

35y ni ikki tarafga qo’shing.

$$6x=-30y+160+35y$$

5y ni olish uchun -30y va 35y ni birlashtirish.

$$6x=5y+160$$

Ikki tarafini 6 ga bo‘ling.

$$\frac{6x}{6}=\frac{5y+160}{6}$$

6 ga bo'lish 6 ga ko'paytirishni bekor qiladi.

$$x=\frac{5y+160}{6}$$

160+5y ni 6 ga bo'lish.

$$x=\frac{5y}{6}+\frac{80}{3}$$

x qiymati 30,35 qiymatlaridan birortasiga teng bo‘lmaydi.

$$x=\frac{5y}{6}+\frac{80}{3}\text{, }x\neq 30\text{ and }x\neq 35$$

y uchun yechish

$$y=\frac{6x}{5}-32$$

$$x\neq 30\text{ and }x\neq 35$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini \left(x-35\right)\left(x-30\right) ga, 30-x,x-35 ning eng kichik karralisiga ko‘paytiring.

$$\left(35-x\right)\left(4-y\right)=\left(x-30\right)\left(y-10\right)$$

35-x ga 4-y ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$140-35y-4x+yx=\left(x-30\right)\left(y-10\right)$$

x-30 ga y-10 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$140-35y-4x+yx=xy-10x-30y+300$$

Ikkala tarafdan xy ni ayirish.

$$140-35y-4x+yx-xy=-10x-30y+300$$

0 ni olish uchun yx va -xy ni birlashtirish.

$$140-35y-4x=-10x-30y+300$$

30y ni ikki tarafga qo’shing.

$$140-35y-4x+30y=-10x+300$$

-5y ni olish uchun -35y va 30y ni birlashtirish.

$$140-5y-4x=-10x+300$$

Ikkala tarafdan 140 ni ayirish.

$$-5y-4x=-10x+300-140$$

160 olish uchun 300 dan 140 ni ayirish.

$$-5y-4x=-10x+160$$

4x ni ikki tarafga qo’shing.

$$-5y=-10x+160+4x$$

-6x ni olish uchun -10x va 4x ni birlashtirish.

$$-5y=-6x+160$$

Tenglama standart shaklda.

$$-5y=160-6x$$

Ikki tarafini -5 ga bo‘ling.

$$\frac{-5y}{-5}=\frac{160-6x}{-5}$$

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

$$y=\frac{160-6x}{-5}$$

-6x+160 ni -5 ga bo'lish.

$$y=\frac{6x}{5}-32$$