Question

Solve the system of linear equations. Then, state whether the system is independent, dependent, or inconsistent. Match your answer to the correct answerbelow.3x-5y=212x-20y=8

Answer 1

Solution:

Given the system;

$\begin{gathered} 3x-5y=2............equation1 \\ \\ 12x-20y=8..........equation2 \end{gathered}$

Divide equation 2 by 4;

$\begin{gathered} \frac{12x}{4}-\frac{20y}{4}=\frac{8}{4} \\ \\ 3x-5y=2...........equation3 \end{gathered}$

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