Question 224324
If you multiply both sides of the first equation by 2, you will notice that this is exactly the same as the second equation.  Therefore, these are the SAME LINE.  Every  point on one line is automatically a solution of the second line, so there are INFINTELY MANY SOLUTIONS.



If you need additional help with this topic of Solving Systems of Equations, I hope you will check out my own website.  I have a LOT of help for you there.  To find my website, do a "Bing" Search for my last name "Rapalje".  Look for "Rapalje Homepage" near the top of the search list.  Then, near the top of my Homepage, look for "Basic, Intermediate and College Algebra: One Step at a Time," select "Basic Algebra" and in "Chapter 4", you will find "Section 4.07 Systems of Equations" that directly relates to this problem.  This is my own non-traditional explanation that my own students have found MUCH easier to understand than the traditional textbooks.  In addition to my explanations, examples and exercises, I have my "MATH IN LIVING COLOR" pages where I solved many of these exercises IN COLOR!!


R^2


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamone Springs Campus