So we want to solve the system:
[tex]\begin{cases}12x+6y=6 \\ 4y=-8x+4\end{cases}[/tex]For this, we could rewrite it first:
[tex]\begin{cases}12x+6y-6=0 \\ 8x+4y-4=0\end{cases}[/tex]We could apply the elimination's method as follows:
- Multiply the second equation by -12/8:
[tex]\begin{cases}12x+6y-6=0 \\ -12x-6y+6=0\end{cases}[/tex]Notice that if we sum both equations, all terms are going to cancel each other. So, this system will have infinite solutions.
