Question

this system of equations is: consistent independent consistent dependent inconsistent this means the system has: a unique solution solution: (0, 0) infinitely many solutions no solution try again

Explanation:

A consistent - independent system of equations has exactly one solution (a unique solution). A consistent - dependent system has infinitely many solutions. An inconsistent system has no solution. Since the answer for the type of system was wrongly chosen as "consistent dependent" (it should be "consistent independent" as there is a unique solution \((0,0)\)), we need to correct based on the fact that a single line (assuming it's one line in the system, but if it's a system of two lines intersecting at \((0,0)\)) a unique solution implies consistent independent.

Answer:

• The system of equations is: consistent independent
• This means the system has: a unique solution (Solution: \((0,0)\))