Linear Equations

Choose one of the following two prompts to respond to. In your two follow-up posts, respond to one peer who picked the first prompt, and one peer who picked the second prompt. Use the discussion as a place to ask questions, speculate about answers, and share insights. Be sure to embed and cite your references for any supporting images.

• Option 1: There are three ways to solve a system of equations: the algebraic method, by substitution, and by creating a graphical representation. Of these, which method is the best? Why? Consider possible advantages and disadvantages of each.
• Option 2: When looking at two linear equations, how can you tell if the corresponding lines are parallel, the same line, or perpendicular? How many solutions does each possibility have, and why? Provide an example to support your statements. In your follow-up post, add an equation. What is the result?