Question

2x + 4y = 16
4x + 8y = -16 he chooses to eliminate the variable y

Answer 1

These system of equations have no solution.

Explanation:

We need to solve the system of equations

`2x + 4y = 16\\4x + 8y = -16`

by eliminating variable y

Let:

`2x + 4y = 16--eq(1)\\4x + 8y = -16--eq(2)`

Multiply eq(1) by 2 and subtract both equations

`4x + 8y = 32\\4x + 8y = -16\\- \ - \ \ \ \ \ \ \ +\\---------\\0x+0y=48\\0\\eq 48`

As 0≠48

So, these system of equations have no solution.