Question

The linear system is graphed. Is it an independent or dependent system? -2x+3y=5 -4x+6y=10

Answer 1

An independent system has exactly one solution, which means that the equations intersect in only one point.

A dependent system has an infinite solution, this means that both equations define the same line. When you graph this system it will appear as if there is only one line.

Given the equations

`\begin{gathered} -2x+3y=5 \\ -4x+6y=10 \end{gathered}`

Both equations determine the same line, which indicates that the system has infinite solutions. You can conclude that the system is dependent.