Answer:
The best answer is " The lines are the same " ⇒ A
Step-by-step explanation:
A system of two linear equations can have:
- One solution ⇒ 2 intersected lines at a point
- An infinite number of solutions ⇒ same line
- No solution ⇒ 2 parallel lines
If a system has at least one solution, it is called consistent
- If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a point
- If a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line
If a system has no solution, then it is called inconsistent. they represented by two parallel lines
Let us use these facts above to solve our question
∵ A system of two linear equations is consistent and dependent
∴ The system has an infinite number of solutions
∴ The system represented graphically by the same line
∴ The best answer is " The lines are the same "
