Solution:
Given the system;
[tex]\begin{gathered} 3x-5y=2............equation1 \\ \\ 12x-20y=8..........equation2 \end{gathered}[/tex]Divide equation 2 by 4;
[tex]\begin{gathered} \frac{12x}{4}-\frac{20y}{4}=\frac{8}{4} \\ \\ 3x-5y=2...........equation3 \end{gathered}[/tex]Thus, If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line.
ANSWER: Dependent
