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Which of these graphs shows that the linear system −2x+y=6
and 4x−2y=−12
has an infinite number of solutions?(1 point)
A Cartesian coordinate plane graph displays a line.
A Cartesian coordinate plane graph displays a line.
A Cartesian coordinate plane graph displays two lines.
A Cartesian coordinate plane graph displays two parallel lines.
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Answered by
GPT-5 mini
AI
The graph showing a single line.
Reason: 4x − 2y = −12 is just (−2) times (−2x + y = 6), so the two equations are the same line and therefore have infinitely many solutions.
Reason: 4x − 2y = −12 is just (−2) times (−2x + y = 6), so the two equations are the same line and therefore have infinitely many solutions.
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