Метод подставновки : 1) y=-8x 2x+0.5y=1 2) x=5-4y 2x=7y=8 3) Метод алгебр.сложен...

July 2022 1 4 Report

Метод подставновки :
1) y=-8x
2x+0.5y=1

2) x=5-4y
2x=7y=8

3) Метод алгебр.сложения
2х-2y=7
3x=2y=3

4) 5x-4y=8
x-y=2

Answers & Comments

Azzaires 1) 2х + 0,5 (- 8х) = 1
2х - 4х = 1
- 2х = 1
х = - 0,5
$\left \{ {{x=-0,5} \atop {y=-8*(-0,5)}} \right.$
$\left \{ {{x=-0,5} \atop {y=4}} \right.$
Ответ: (- 0,5; 4)

2) 2 (5 - 4у) + 7у = 8
10 - 8у + 7у = 8
- у = 8 - 10
- у = - 2
у = 2
$\left \{ {{y=2} \atop {x=5-4*2}} \right.$
$\left \{ {{y=2} \atop {x=-3}} \right.$
Ответ: (- 3; 2)

3) 3х + 2х = 3 + 7
5х = 10
х = 2
$\left \{ {{x=2} \atop {2*5-2y=7}} \right.$
$\left \{ {{x=2} \atop {-2y=7:10} \right.$
$\left \{ {{x=2} \atop {-2y=0,7} \right.$
$\left \{ {{x=2} \atop {y=-0,35} \right.$
Ответ: (2; - 0,35)

4) $\left \{ {{5x-4y=8} \atop {x-y=2} \right.$
$\left \{ {{5x-4y=8} \atop {-4x+4y=-8} \right.$
x = 0
$\left \{ {{x=0} \atop {x-y=2} \right.$
$\left \{ {{x=0} \atop {y=-2} \right.$
Ответ: (0; - 2)

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