I\'m having a hard time finding the answear. Find the general solution of the sy

Question

I'm having a hard time finding the answear.

Find the general solution of the system whose augmented matrix is given below. [1 3 2 6 1 -2 -1 -23] Select the correct choice below and, if necessary, fill in any answer boxes to complete your answer {x_1 = 3 - 2x_2 x_2 = 3 - x_1 x_3 = -4 (Use integers or fractions for any numbers in the equation.) {x_1 = __ x_2 is free x_3 = __ (Use integers or fractions for any numbers in the equation.) {x_1 = __ x_2 is free x_3 is free (Use integers or fractions for any numbers in the equation.)

Explanation / Answer

Your matrix

Find the pivot in the 1st column in the 1st row

Eliminate the 1st column

Make the pivot in the 3rd column by dividing the 2nd row by -5

Eliminate the 3rd column

Solution set:

x1 = -5 - 2*x2

x3 = 4

x2 - free

X1 X2 X3 b 1 1 2 1 -1 2 3 6 -2 -23

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