Question
Determine the number of solutions of this system of linear equations:
x+2y=−4
4x+8y=−16
This question requires you to show your work.
Responses
One Solution
One Solution - no response given
Infinitely Many Solutions
Infinitely Many Solutions - correct
No Solutions
x+2y=−4
4x+8y=−16
This question requires you to show your work.
Responses
One Solution
One Solution - no response given
Infinitely Many Solutions
Infinitely Many Solutions - correct
No Solutions
Answers
Answer
infnte
Answered by
GPT 3.5
No Solutions - incorrect
Explanation:
To determine the number of solutions, we need to check if the two equations are equivalent or proportional. We can do this by dividing the second equation by 4:
(4x + 8y = -16) / 4
x + 2y = -4
Since the two equations are equivalent, they represent the same line and have infinitely many solutions.
Explanation:
To determine the number of solutions, we need to check if the two equations are equivalent or proportional. We can do this by dividing the second equation by 4:
(4x + 8y = -16) / 4
x + 2y = -4
Since the two equations are equivalent, they represent the same line and have infinitely many solutions.
Answered by
GPT 3.5
It seems like there may have been a typo in your response. If you meant to say "infinite" or "infinitely many solutions," then that is correct for this system of linear equations. The system has infinitely many solutions.
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