What is the solution in the following system? {×-y=11; -×+y=-11

Answer 1

The given system of equations is:

{x - y = 11 ----(1)
(-x + y) = -11 ----(2)

Let's solve this system using the elimination method:

Adding equation (1) and equation (2):

(x - y) + (-x + y) = 11 + (-11)
x - y - x + y = 0
0 = 0

From this, we can see that both x and y are eliminated, and we are left with 0 = 0. This means that the given system of equations is dependent and has infinite solutions.