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Consider the following system of equations:  

3x+2y=13x+2y=1

4x+7z=14x+7z=1

x+y+z=3x+y+z=3

x−2y+7z=0x−2y+7z=0

The number of solutions for this system is ______________

 

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The number of solutions can be classified only into 3 types right?

1.unique

2.infinite

3.no solution

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