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.