Question

{2х-5у=-1 3х-у=5 помогите пожайлуста

Answer 1

2x-5y=-1       2x-5y=-1       
3x-y=5 |*-5   -15x+5y=-25

Складываем первое и второе уравнения
2x-15x-5y+5y=-1-25
-13x=-26
x=2
2*2-5y=-1  4-5y=-1  -5y=-5  y=1

Ответ: х=2, у=1

Answer 2

Solving the System of Equations

To solve the system of equations 2x - 5y = -1 and 3x - y = 5, we can use the method of substitution or elimination. Let's solve it using the elimination method.

To eliminate the variable y, we can multiply the second equation by 5 and the first equation by 1:

Equation 1: 2x - 5y = -1

Equation 2: 15x - 5y = 25

Now, subtract Equation 1 from Equation 2:

(15x - 5y) - (2x - 5y) = 25 - (-1)

Simplifying the equation:

15x - 5y - 2x + 5y = 25 + 1

13x = 26

Dividing both sides of the equation by 13:

x = 2

Now, substitute the value of x into one of the original equations to find the value of y. Let's use Equation 2:

3(2) - y = 5

6 - y = 5

Subtracting 6 from both sides of the equation:

-y = -1

Multiplying both sides of the equation by -1:

y = 1

Therefore, the solution to the system of equations 2x - 5y = -1 and 3x - y = 5 is x = 2 and y = 1.