3a+b/2=x eching

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

a uchun yechish

$$a=\frac{2x-b}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{2}a+\frac{1}{2}b natijani olish uchun 3a+b ning har bir ifodasini 2 ga bo‘ling.

$$\frac{3}{2}a+\frac{1}{2}b=x$$

Ikkala tarafdan \frac{1}{2}b ni ayirish.

$$\frac{3}{2}a=x-\frac{1}{2}b$$

Tenglama standart shaklda.

$$\frac{3}{2}a=-\frac{b}{2}+x$$

Tenglamaning ikki tarafini \frac{3}{2} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

$$\frac{\frac{3}{2}a}{\frac{3}{2}}=\frac{-\frac{b}{2}+x}{\frac{3}{2}}$$

\frac{3}{2} ga bo'lish \frac{3}{2} ga ko'paytirishni bekor qiladi.

$$a=\frac{-\frac{b}{2}+x}{\frac{3}{2}}$$

x-\frac{b}{2} ni \frac{3}{2} ga bo'lish x-\frac{b}{2} ga k'paytirish \frac{3}{2} ga qaytarish.

$$a=\frac{2x-b}{3}$$

b uchun yechish

$$b=2x-3a$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{2}a+\frac{1}{2}b natijani olish uchun 3a+b ning har bir ifodasini 2 ga bo‘ling.

$$\frac{3}{2}a+\frac{1}{2}b=x$$

Ikkala tarafdan \frac{3}{2}a ni ayirish.

$$\frac{1}{2}b=x-\frac{3}{2}a$$

Tenglama standart shaklda.

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

Ikkala tarafini 2 ga ko‘paytiring.

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

\frac{1}{2} ga bo'lish \frac{1}{2} ga ko'paytirishni bekor qiladi.

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

x-\frac{3a}{2} ni \frac{1}{2} ga bo'lish x-\frac{3a}{2} ga k'paytirish \frac{1}{2} ga qaytarish.

$$b=2x-3a$$