91x-42y+sqrt{2}=4 eching

$$91 x - 42 y + \sqrt { 2 } = 4$$

x uchun yechish

$$x=\frac{6y}{13}-\frac{\sqrt{2}}{91}+\frac{4}{91}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

42y ni ikki tarafga qo’shing.

$$91x+\sqrt{2}=4+42y$$

Ikkala tarafdan \sqrt{2} ni ayirish.

$$91x=4+42y-\sqrt{2}$$

Tenglama standart shaklda.

$$91x=42y+4-\sqrt{2}$$

Ikki tarafini 91 ga bo‘ling.

$$\frac{91x}{91}=\frac{42y+4-\sqrt{2}}{91}$$

91 ga bo'lish 91 ga ko'paytirishni bekor qiladi.

$$x=\frac{42y+4-\sqrt{2}}{91}$$

4+42y-\sqrt{2} ni 91 ga bo'lish.

$$x=\frac{6y}{13}-\frac{\sqrt{2}}{91}+\frac{4}{91}$$

y uchun yechish

$$y=\frac{91x+\sqrt{2}-4}{42}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 91x ni ayirish.

$$-42y+\sqrt{2}=4-91x$$

Ikkala tarafdan \sqrt{2} ni ayirish.

$$-42y=4-91x-\sqrt{2}$$

Tenglama standart shaklda.

$$-42y=-91x+4-\sqrt{2}$$

Ikki tarafini -42 ga bo‘ling.

$$\frac{-42y}{-42}=\frac{-91x+4-\sqrt{2}}{-42}$$

-42 ga bo'lish -42 ga ko'paytirishni bekor qiladi.

$$y=\frac{-91x+4-\sqrt{2}}{-42}$$

4-91x-\sqrt{2} ni -42 ga bo'lish.

$$y=\frac{13x}{6}+\frac{\sqrt{2}}{42}-\frac{2}{21}$$