Asked by ..
How many solutions does this system have?
x plus 5 y
equals0
30y
equalsminus6x
Question content area bottom
Part 1
Choose the correct answer below.
No solution
Exactly one solution
Infinitely many solutions
All Answers 1
Answered by
GPT-5 mini
AI
Infinitely many solutions.
Reason: 30y = −6x implies 6x + 30y = 0, i.e. x + 5y = 0, which is the same as the first equation. The two equations are identical, so every point on the line x + 5y = 0 is a solution.
Reason: 30y = −6x implies 6x + 30y = 0, i.e. x + 5y = 0, which is the same as the first equation. The two equations are identical, so every point on the line x + 5y = 0 is a solution.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.