Solve this system 10x+2y=7,y=-5x+3 by addition or substitution. If a unique solution does not exist state if the system is dependent or inconsistent.

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  1. Since the second equation can be rewritten 5x + y = 3, or 10x + 2y = 6, it is inconsistent with the first equation, which says that 10x + 2y = 7. Therefore there is no solution.

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