Question

Решите систему уравнений: 2х-2у=3 х-у=5 Подробно только пожалуйста

Answer 1

2х-2у=3
х-у=5

2(х-у) =3
х-у =5

х-у = 3/2
х-у = 5
решаем методом вычитания
х -у - (х -у) = 1,5 -5
х-у -х +у = -4,5
0 = -4,5 
система не имеет решений

Answer 2

Solving the System of Equations

To solve the system of equations: 1. 2x - 2y = 3 2. x - y = 5

We can use the substitution method or the elimination method. Let's use the substitution method to solve this system of equations.

First, let's solve equation (2) for x: x = y + 5

Now, substitute x in equation (1) with y + 5: 2(y + 5) - 2y = 3 2y + 10 - 2y = 3 10 = 3

This leads to an inconsistency, as 10 cannot equal 3. Therefore, the system of equations has no solution. This means that the two lines represented by the equations are parallel and will never intersect.

Conclusion: The given system of equations has no solution, indicating that the lines represented by the equations are parallel and do not intersect.