Question

a system of equations has infinitely many solutions when both lines ________. are parallel intersect (cross) overlap

Explanation:

To determine when a system of equations has infinitely many solutions, we analyze the options:

• If lines are parallel, they never intersect, so there are no solutions.
• If lines intersect (cross), they meet at one point, so there is one solution.
• If lines overlap, they are the same line, meaning every point on the line is a solution, so there are infinitely many solutions.

Answer:

C. overlap (assuming the options are labeled with C for overlap; if the original options had different labels, adjust accordingly. Based on the given options, the correct one is the "overlap" option.)