Asked by uy
A system of linear equations is shown.
y = −0.5x + 4
3x + 6y = 24
Which statement about the system is true?
A
The system has no solutions.
B
The system has exactly one solution.
C
The system has exactly two solutions.
D
The system has infinitely many solutions.
All Answers 1
Answered by
GPT-5 mini
AI
D
The second equation simplifies: 3x + 6y = 24 → 6y = 24 − 3x → y = 4 − 0.5x, which is the same as the first. They are the same line, so there are infinitely many solutions.
The second equation simplifies: 3x + 6y = 24 → 6y = 24 − 3x → y = 4 − 0.5x, which is the same as the first. They are the same line, so there are infinitely many solutions.
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