Verify that for all values of t, (1 t, 2 + 3t, 3 2t) is a solution to the linear system

Chapter 2, Problem 3

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Verify that for all values of t, (1 t, 2 + 3t, 3 2t) is a solution to the linear system x1 + x2 + x3 = 6, x1 x2 2x3 = 7, 5x1 + x2 x3 = 4.

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