2/3x-3/4y=2 eching

$$\frac { 2 } { 3 } x - \frac { 3 } { 4 } y = 2$$

x uchun yechish

$$x=\frac{9y}{8}+3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{3}{4}y ni ikki tarafga qo’shing.

$$\frac{2}{3}x=2+\frac{3}{4}y$$

Tenglama standart shaklda.

$$\frac{2}{3}x=\frac{3y}{4}+2$$

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

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{\frac{3y}{4}+2}{\frac{2}{3}}$$

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

$$x=\frac{\frac{3y}{4}+2}{\frac{2}{3}}$$

2+\frac{3y}{4} ni \frac{2}{3} ga bo'lish 2+\frac{3y}{4} ga k'paytirish \frac{2}{3} ga qaytarish.

$$x=\frac{9y}{8}+3$$

y uchun yechish

$$y=\frac{8\left(x-3\right)}{9}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$-\frac{3}{4}y=2-\frac{2}{3}x$$

Tenglama standart shaklda.

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

Tenglamaning ikki tarafini -\frac{3}{4} ga bo'lish, bu kasrni qaytarish orqali ikkala tarafga ko'paytirish bilan aynidir.

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

-\frac{3}{4} ga bo'lish -\frac{3}{4} ga ko'paytirishni bekor qiladi.

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

2-\frac{2x}{3} ni -\frac{3}{4} ga bo'lish 2-\frac{2x}{3} ga k'paytirish -\frac{3}{4} ga qaytarish.

$$y=\frac{8x}{9}-\frac{8}{3}$$