(2a+4b)(c-6d)=4e+2 eching

$$( 2 a + 4 b ) ( c - 6 d ) = 4 e + 2$$

a uchun yechish

$$a=-\frac{2bc-12bd-2e-1}{c-6d}$$

$$c\neq 6d$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2a+4b ga c-6d ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2ac-12da+4bc-24db=4e+2$$

Ikkala tarafdan 4bc ni ayirish.

$$2ac-12da-24db=4e+2-4bc$$

24db ni ikki tarafga qo’shing.

$$2ac-12da=4e+2-4bc+24db$$

a'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(2c-12d\right)a=4e+2-4bc+24db$$

Tenglama standart shaklda.

$$\left(2c-12d\right)a=2+4e+24bd-4bc$$

Ikki tarafini 2c-12d ga bo‘ling.

$$\frac{\left(2c-12d\right)a}{2c-12d}=\frac{2+4e+24bd-4bc}{2c-12d}$$

2c-12d ga bo'lish 2c-12d ga ko'paytirishni bekor qiladi.

$$a=\frac{2+4e+24bd-4bc}{2c-12d}$$

4e+2-4bc+24db ni 2c-12d ga bo'lish.

$$a=\frac{1+2e+12bd-2bc}{c-6d}$$

b uchun yechish

$$b=-\frac{ac-6ad-2e-1}{2\left(c-6d\right)}$$

$$c\neq 6d$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2a+4b ga c-6d ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2ac-12da+4bc-24db=4e+2$$

Ikkala tarafdan 2ac ni ayirish.

$$-12da+4bc-24db=4e+2-2ac$$

12da ni ikki tarafga qo’shing.

$$4bc-24db=4e+2-2ac+12da$$

b'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(4c-24d\right)b=4e+2-2ac+12da$$

Tenglama standart shaklda.

$$\left(4c-24d\right)b=2+4e+12ad-2ac$$

Ikki tarafini 4c-24d ga bo‘ling.

$$\frac{\left(4c-24d\right)b}{4c-24d}=\frac{2+4e+12ad-2ac}{4c-24d}$$

4c-24d ga bo'lish 4c-24d ga ko'paytirishni bekor qiladi.

$$b=\frac{2+4e+12ad-2ac}{4c-24d}$$

4e+2-2ac+12da ni 4c-24d ga bo'lish.

$$b=\frac{1+2e+6ad-ac}{2\left(c-6d\right)}$$