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Solve the system 3x – 2y = 7 and 9x – 6y = 3 What is the solution to the system?

Mathematics
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If you divide the second equation throughout by 3 we get 3x - 2y = 1 Now, is that consistent with the first equation, 3x - 2y = 7 ?
Umm yes?
No. Because the second equation implies 3x - 2y = 1 But the first equation is 3x - 2y = 7 If both equations where true, then that would imply that 7 = 1 which cannot be true!! We say that this system of equations is inconsistent, which means it leads to nonsense. Hence there are no solutions to both equations.

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