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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

User Boris Modylevsky
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1 Answer

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Solution:

Given the system;


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

Divide equation 2 by 4;


\begin{gathered} (12x)/(4)-(20y)/(4)=(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

User RuAware
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