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Please explain how to find the number of solutions to this system of equations. (none, one, or infinitely many)

-2x-3y-z=-9

2x+2y-z=7

-2x-y+3z=14

Adding 1 and 2

-y-2z = -2

y+2z = 2

Adding 2 and 3

y+2z= 21

There is no solution since y+2z cannot have two different values 2 and 21

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