1/2u+1/3v=2 eching

$$\frac { 1 } { 2 } u + \frac { 1 } { 3 } v = 2$$

u uchun yechish

$$u=-\frac{2v}{3}+4$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \frac{1}{3}v ni ayirish.

$$\frac{1}{2}u=2-\frac{1}{3}v$$

Tenglama standart shaklda.

$$\frac{1}{2}u=-\frac{v}{3}+2$$

Ikkala tarafini 2 ga ko‘paytiring.

$$\frac{\frac{1}{2}u}{\frac{1}{2}}=\frac{-\frac{v}{3}+2}{\frac{1}{2}}$$

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

$$u=\frac{-\frac{v}{3}+2}{\frac{1}{2}}$$

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

$$u=-\frac{2v}{3}+4$$

v uchun yechish

$$v=-\frac{3u}{2}+6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$\frac{1}{3}v=2-\frac{1}{2}u$$

Tenglama standart shaklda.

$$\frac{1}{3}v=-\frac{u}{2}+2$$

Ikkala tarafini 3 ga ko‘paytiring.

$$\frac{\frac{1}{3}v}{\frac{1}{3}}=\frac{-\frac{u}{2}+2}{\frac{1}{3}}$$

\frac{1}{3} ga bo'lish \frac{1}{3} ga ko'paytirishni bekor qiladi.

$$v=\frac{-\frac{u}{2}+2}{\frac{1}{3}}$$

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

$$v=-\frac{3u}{2}+6$$