1-4-2x/4=5x+3/b-x eching

$$1 - \frac { 4 - 2 x } { 4 } = \frac { 5 x + 3 } { b } - x$$

b uchun yechish

$$b=\frac{10}{3}+\frac{2}{x}$$

$$x\neq -\frac{3}{5}\text{ and }x\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

b qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 4b ga, 4,b ning eng kichik karralisiga ko‘paytiring.

$$4b-b\left(4-2x\right)=4\left(5x+3\right)-x\times 4b$$

b ga 4-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4b-\left(4b-2bx\right)=4\left(5x+3\right)-x\times 4b$$

4b-2bx teskarisini topish uchun har birining teskarisini toping.

$$4b-4b+2bx=4\left(5x+3\right)-x\times 4b$$

0 ni olish uchun 4b va -4b ni birlashtirish.

$$2bx=4\left(5x+3\right)-x\times 4b$$

4 ga 5x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2bx=20x+12-x\times 4b$$

-4 hosil qilish uchun -1 va 4 ni ko'paytirish.

$$2bx=20x+12-4xb$$

4xb ni ikki tarafga qo’shing.

$$2bx+4xb=20x+12$$

6bx ni olish uchun 2bx va 4xb ni birlashtirish.

$$6bx=20x+12$$

Tenglama standart shaklda.

$$6xb=20x+12$$

Ikki tarafini 6x ga bo‘ling.

$$\frac{6xb}{6x}=\frac{20x+12}{6x}$$

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

$$b=\frac{20x+12}{6x}$$

20x+12 ni 6x ga bo'lish.

$$b=\frac{10}{3}+\frac{2}{x}$$

b qiymati 0 teng bo‘lmaydi.

$$b=\frac{10}{3}+\frac{2}{x}\text{, }b\neq 0$$

x uchun yechish

$$x=\frac{6}{3b-10}$$

$$b\neq \frac{10}{3}\text{ and }b\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 4b ga, 4,b ning eng kichik karralisiga ko‘paytiring.

$$4b-b\left(4-2x\right)=4\left(5x+3\right)-x\times 4b$$

b ga 4-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$4b-\left(4b-2bx\right)=4\left(5x+3\right)-x\times 4b$$

4b-2bx teskarisini topish uchun har birining teskarisini toping.

$$4b-4b+2bx=4\left(5x+3\right)-x\times 4b$$

0 ni olish uchun 4b va -4b ni birlashtirish.

$$2bx=4\left(5x+3\right)-x\times 4b$$

4 ga 5x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2bx=20x+12-x\times 4b$$

-4 hosil qilish uchun -1 va 4 ni ko'paytirish.

$$2bx=20x+12-4xb$$

Ikkala tarafdan 20x ni ayirish.

$$2bx-20x=12-4xb$$

4xb ni ikki tarafga qo’shing.

$$2bx-20x+4xb=12$$

6bx ni olish uchun 2bx va 4xb ni birlashtirish.

$$6bx-20x=12$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(6b-20\right)x=12$$

Ikki tarafini 6b-20 ga bo‘ling.

$$\frac{\left(6b-20\right)x}{6b-20}=\frac{12}{6b-20}$$

6b-20 ga bo'lish 6b-20 ga ko'paytirishni bekor qiladi.

$$x=\frac{12}{6b-20}$$

12 ni 6b-20 ga bo'lish.

$$x=\frac{6}{3b-10}$$