Respuesta :
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.
[tex]\begin{cases}2x+4y={3} \\ 4x+8y={6}\end{cases}[/tex]if we multiply the first equation by -2 we obtain
[tex]-4x-8x=-6[/tex]and then add both equations
[tex]\begin{gathered} -4x+4x-8y+8y=-6+6 \\ 0=0 \end{gathered}[/tex]the system has infinitely many solutions.
Answer:
The system is dependent
