Determine if the following system of equations has no solutions, infinitely many solutions or
exactly one solution.

Answer
One Solution
No Solutions

This system of equations actually has infinitely many solutions! If you look closely, the second equation is simply a multiple of the first one (it’s obtained by multiplying the first equation by 2). So, they represent the same line in the coordinate plane, meaning any point along that line is a solution.

When faced with similar situations, it’s essential to check if one equation can be derived from the other by multiplying or adding/subtracting. If they’re dependent, as in this case, you can expect more than just one solution!