The first row of the matrix tells us that

x = -y + 5.

So far, so good. However, if we represent the second row of the matrix as an equation, we get

0x + 0y = 3 that is, 0 = 3.But that is absurd!

Thus, the assumption that there is a solution of the system of equations leads to an absurd conclusion. Therefore, there is no solution of the system.

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