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a) find all solutions to the following system of three linear equations. x1-2x2+x3+x4 = -2 -x1+2x2 +x4 = 6 2x1-4x2+x3 = -8 b) If the

a) find all solutions to the following system of three linear equations.

x1-2x2+x3+x4 = -2

-x1+2x2 +x4 = 6

2x1-4x2+x3 = -8

b) If the equation 2x1-4x2+x3=4 is added to the system, is the new system (of four equations) consistent? Explain.

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