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Find out whether the following pairs of linear equations are consistent or inconsistent. Also state the nature of the lines representing those equations:
(1) `x+2y=10, 2x-3y=12`
(2) `2x+3y=6, 4x+6y=12`
(3) `3x+5y=30, 9x+15y=50`

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The correct Answer is:
(1) Consistent; Intersecting lines
(2) Consistent and dependent; Coincident lines
(3) Inconsistent; Parallel lines
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