by-5/y+2=-4/3 eching

$$\frac { b y - 5 } { y + 2 } = \frac { - 4 } { 3 }$$

b uchun yechish

$$b=-\frac{4}{3}+\frac{7}{3y}$$

$$y\neq 0\text{ and }y\neq -2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 3\left(y+2\right) ga, y+2,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(by-5\right)=\left(y+2\right)\left(-4\right)$$

3 ga by-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3by-15=\left(y+2\right)\left(-4\right)$$

y+2 ga -4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3by-15=-4y-8$$

15 ni ikki tarafga qo’shing.

$$3by=-4y-8+15$$

7 olish uchun -8 va 15'ni qo'shing.

$$3by=-4y+7$$

Tenglama standart shaklda.

$$3yb=7-4y$$

Ikki tarafini 3y ga bo‘ling.

$$\frac{3yb}{3y}=\frac{7-4y}{3y}$$

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

$$b=\frac{7-4y}{3y}$$

-4y+7 ni 3y ga bo'lish.

$$b=-\frac{4}{3}+\frac{7}{3y}$$

y uchun yechish

$$y=\frac{7}{3b+4}$$

$$b\neq -\frac{5}{2}\text{ and }b\neq -\frac{4}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati -2 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3\left(y+2\right) ga, y+2,3 ning eng kichik karralisiga ko‘paytiring.

$$3\left(by-5\right)=\left(y+2\right)\left(-4\right)$$

3 ga by-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3by-15=\left(y+2\right)\left(-4\right)$$

y+2 ga -4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$3by-15=-4y-8$$

4y ni ikki tarafga qo’shing.

$$3by-15+4y=-8$$

15 ni ikki tarafga qo’shing.

$$3by+4y=-8+15$$

7 olish uchun -8 va 15'ni qo'shing.

$$3by+4y=7$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(3b+4\right)y=7$$

Ikki tarafini 4+3b ga bo‘ling.

$$\frac{\left(3b+4\right)y}{3b+4}=\frac{7}{3b+4}$$

4+3b ga bo'lish 4+3b ga ko'paytirishni bekor qiladi.

$$y=\frac{7}{3b+4}$$

y qiymati -2 teng bo‘lmaydi.

$$y=\frac{7}{3b+4}\text{, }y\neq -2$$