-8x_{1}+2x_{2}-5x_{3}+6x_{4}=1 eching

$$- 8 x _ { 1 } + 2 x _ { 2 } - 5 x _ { 3 } + 6 x _ { 4 } = 1$$

x_1 uchun yechish

$$x_{1}=\frac{x_{2}}{4}+\frac{3x_{4}}{4}-\frac{5x_{3}}{8}-\frac{1}{8}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 2x_{2} ni ayirish.

$$-8x_{1}-5x_{3}+6x_{4}=1-2x_{2}$$

5x_{3} ni ikki tarafga qo’shing.

$$-8x_{1}+6x_{4}=1-2x_{2}+5x_{3}$$

Ikkala tarafdan 6x_{4} ni ayirish.

$$-8x_{1}=1-2x_{2}+5x_{3}-6x_{4}$$

Tenglama standart shaklda.

$$-8x_{1}=1-6x_{4}+5x_{3}-2x_{2}$$

Ikki tarafini -8 ga bo‘ling.

$$\frac{-8x_{1}}{-8}=\frac{1-6x_{4}+5x_{3}-2x_{2}}{-8}$$

-8 ga bo'lish -8 ga ko'paytirishni bekor qiladi.

$$x_{1}=\frac{1-6x_{4}+5x_{3}-2x_{2}}{-8}$$

1-2x_{2}+5x_{3}-6x_{4} ni -8 ga bo'lish.

$$x_{1}=\frac{x_{2}}{4}+\frac{3x_{4}}{4}-\frac{5x_{3}}{8}-\frac{1}{8}$$

x_2 uchun yechish

$$x_{2}=\frac{5x_{3}}{2}+4x_{1}-3x_{4}+\frac{1}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

8x_{1} ni ikki tarafga qo’shing.

$$2x_{2}-5x_{3}+6x_{4}=1+8x_{1}$$

5x_{3} ni ikki tarafga qo’shing.

$$2x_{2}+6x_{4}=1+8x_{1}+5x_{3}$$

Ikkala tarafdan 6x_{4} ni ayirish.

$$2x_{2}=1+8x_{1}+5x_{3}-6x_{4}$$

Tenglama standart shaklda.

$$2x_{2}=8x_{1}+5x_{3}-6x_{4}+1$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2x_{2}}{2}=\frac{8x_{1}+5x_{3}-6x_{4}+1}{2}$$

2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.

$$x_{2}=\frac{8x_{1}+5x_{3}-6x_{4}+1}{2}$$

1+8x_{1}+5x_{3}-6x_{4} ni 2 ga bo'lish.

$$x_{2}=\frac{5x_{3}}{2}+4x_{1}-3x_{4}+\frac{1}{2}$$