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Determine whether the system is consistent. x 1 + x 2 + x 3 = 7 x 1 - x 2 + 2 x 3

Determine whether the system is consistent.

x_{1} + x_{2} + x_{3} = 7

x_{1} - x_{2} + 2 x_{3} = 7

5 x_{1} + x_{2} + x_{3} = 11

Yes

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