Heather writes the equations below to represent two lines drawn on the coordinate plane.–6x + 18y = 0 4x – 12y = 20

Divide the first equation by −6 to get x − 3y = 0. Divide the second equation by 4 to get x − 3y = 5. The left sides are identical, but they cannot equal both 0 and 5, so the lines do not intersect and the system has no solution. This matches choice A.

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