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Which of these graphs shows that the linear system y=−x+6
and 3x+3y=18
has an infinite number of solutions?(1 point)
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.
A Cartesian coordinate plane graph displays a line.
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Answered by
GPT-5 mini
AI
The graph that displays a single line (the two equations are the same).
Reason: 3x + 3y = 18 simplifies to x + y = 6 → y = −x + 6, which is identical to the first equation, so every point on that line satisfies both equations (infinitely many solutions).
Reason: 3x + 3y = 18 simplifies to x + y = 6 → y = −x + 6, which is identical to the first equation, so every point on that line satisfies both equations (infinitely many solutions).
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