Solve the system of linear equations by graphing.
4x+y=0 and 3x+y=0. I get really confused on these.

Question

Solve the system of linear equations by graphing. 
4x+y=0 and 3x+y=0. I get really confused on these.

anonymous · Answer

Would I replace the y with a 1?

anonymous · Answer

you can solve by putting $y=-3x$ from the second equation and substiting back in to the first equation to get  $4x+(-3x)=0\implies x=0$

anonymous · Answer

but it should be fairly clear that both of these lines pass through the origin, i.e. that $(0,0)$ is on the graph of both lines, so that is the point of intersection

anonymous · Answer

Okay. so what is the solution of the system of equations? is there a pair, there are infinitely many solutions, or there are no solutions?