Respuesta :

Answer:

These system of equations have no solution.

Step-by-step explanation:

We need to solve the system of equations

[tex]2x + 4y = 16\\4x + 8y = -16[/tex]

by eliminating variable y

Let:

[tex]2x + 4y = 16--eq(1)\\4x + 8y = -16--eq(2)[/tex]

Multiply eq(1) by 2 and subtract both equations

[tex]4x + 8y = 32\\4x + 8y = -16\\- \ - \ \ \ \ \ \ \ +\\---------\\0x+0y=48\\0\neq 48[/tex]

As 0≠48

So, these system of equations have no solution.

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