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No, the two lines are parallel.

If the lines are parallel they have no solution; if the lines are the same line then there are infinitely many solutions - all the points on the liens.

2x + 4y = 9

-4x - 8y = 4

The second equation can be divided through by -2 giving the equations:

2x + 4y = 9

2x + 4y = -2

Left of the equal signs (containing unknown x and y) are the same, but right of the equal signs (containing just numbers) are different. Thus the second line is parallel to the first line and they have no points in common and thus no solution.

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Alaina Lomeli

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5mo ago

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Q: Do the equations 2x plus 4y equals 9 and -4x-8y equals 4 have a solution?
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