A system of linear equations in the variables a, y. and z is represented by the

Question

A system of linear equations in the variables a, y. and z is represented by the following augmented matrix: [1 0 0 1 -23 17 2 6] Part a) Write the general solution for this system as a 3-tuple in terms of the single variable z. (x, y, z) = (2, 6, z, Preview) Part b) Write the specific solution for this system as a 3-tuple when z = 0. (x, y, z) = (2 ,6, 0) Points possible: 1 This is attempt 2 of 2. Score on last attempt: (0, 0, 0.17, 0.17, 0.17, 0.15), Score in gradebook: (0. 0, 0.17, 0.17.0.17.0.15), out of: (0, 0.17, 0.17, 0.17, 0.17, 0.15)

Explanation / Answer

Read from the given matrix as

x-23z=2

y+17z=6

hence

x= 2+23z

y= -17z+6

z=z

Touple is

(2+23z, -17z+6 , z)

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put z=0 to obtain

(2, 6, 0), which you got already correct

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