Question

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Answer 1

According to the definition, a system of equations can be considered inconsistent when there are no solutions for the system, the system is considered dependent when there are infinite solutions to the system, and finally, a system is considered independent when there is only one solution to the system.

`\begin{cases}2x+4y={3} \\ 4x+8y={6}\end{cases}`

if we multiply the first equation by -2 we obtain

`-4x-8x=-6`

and then add both equations

`\begin{gathered} -4x+4x-8y+8y=-6+6 \\ 0=0 \end{gathered}`

the system has infinitely many solutions.

Answer:

The system is dependent