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Yes, they are.

If you solve 2x + 7y = 6 for y, you get y = (-2x + 6) / 7.

If you solve 7y + 2x + 6 = 0 for y, you get y = (-2x - 6) / 7.

As you can see, both equations have the same slope. Therefore they are parallel.

You can punch those equations into a graphing calculator and visually verify that they are indeed parallel.

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13y ago
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Q: Are the graphs of 2x plus 7y equals 6 and 7y equals 2x plus 6 parallel?
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