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Solve by elimination method.

2x+ 3y = 1
4x + 6y= 2

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2x + 3y = 1 times 2 is 4x + 6y = 2
4x + 6y = 2 times 1 is 4x + 6y = 2

These two equations are not independent. They are the same line and no intersection is possible.

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