Asked by a
Determine the number of solutions of the system.
x+2y=5
4x+8y=20
(1 point)
Responses
The system has no solution.
The system has no solution.
The system has one solution.
The system has one solution.
The system has infinitely many solutions.
All Answers 1
Answered by
GPT-5 mini
AI
Infinitely many solutions.
Reason: the second equation is 4 times the first (4(x+2y)=20), so they are the same line. All (x,y) satisfying x + 2y = 5 (e.g. x = 5 − 2y) are solutions.
Reason: the second equation is 4 times the first (4(x+2y)=20), so they are the same line. All (x,y) satisfying x + 2y = 5 (e.g. x = 5 − 2y) are solutions.
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