Question

Помогите пожалуйста!!! ДАЮ 30 БАЛЛОВ Розв’яжіть графічно систему рівнянь: 1:{x+y=-5 {4x-y=-5 Розв’яжіть систему рівнянь: 2:{2x-3y=2 {5x+2y=24 Смотреть ответ сок111213 сок111213 1)у = - х - 5у = 4х + 5Ответ: (-2 ; -3)2)3у = 2х - 22у = - 5х + 24у = ⅔ х - ⅔у = - 2,5х + 12Ответ: (4;2)

Answer 1

System of Equations 1: {x+y=-5 {4x-y=-5

To solve the system of equations:

1. x + y = -5 2. 4x - y = -5

We can use the method of substitution or elimination to find the values of x and y that satisfy both equations.

Let's solve it using the method of substitution:

From equation 1, we can express x in terms of y: 1. x = -5 - y

Substitute this value of x into equation 2: 2. 4(-5 - y) - y = -5

Simplify the equation: -20 - 4y - y = -5 -5y - 20 = -5

Add 20 to both sides of the equation: -5y = 15

Divide both sides of the equation by -5: y = -3

Now substitute the value of y back into equation 1 to find x: x + (-3) = -5 x - 3 = -5 x = -5 + 3 x = -2

Therefore, the solution to the system of equations {x+y=-5 {4x-y=-5 is x = -2 and y = -3.

System of Equations 2: {2x-3y=2 {5x+2y=24

To solve the system of equations:

1. 2x - 3y = 2 2. 5x + 2y = 24

We can use the method of substitution or elimination to find the values of x and y that satisfy both equations.

Let's solve it using the method of substitution:

From equation 1, we can express x in terms of y: 1. x = (2 + 3y) / 2

Substitute this value of x into equation 2: 2. 5((2 + 3y) / 2) + 2y = 24

Simplify the equation: 5(2 + 3y) + 2y = 24 10 + 15y + 2y = 24 17y + 10 = 24

Subtract 10 from both sides of the equation: 17y = 14

Divide both sides of the equation by 17: y = 14 / 17

Now substitute the value of y back into equation 1 to find x: 2x - 3(14 / 17) = 2 2x - 42 / 17 = 2

Multiply both sides of the equation by 17 to eliminate the fraction: 34x - 42 = 34

Add 42 to both sides of the equation: 34x = 76

Divide both sides of the equation by 34: x = 76 / 34

Simplify the fraction: x = 38 / 17

Therefore, the solution to the system of equations {2x-3y=2 {5x+2y=24 is x = 38/17 and y = 14/17.

Please let me know if you need any further assistance!