honeworR.Practice TestTV Score: 0 of 1 pt 38.2.7 Solve the system. If there ts n

Question

honeworR.Practice TestTV Score: 0 of 1 pt 38.2.7 Solve the system. If there ts no solution or if there are infiniely many solutions and the system's equations are dependent, so state. 55 of 57(56 complete) ? 6x- y+32* 15 x+3y- z=-10 x +3y -42-14 Select the correct choice below and till in any answer boxes within your choice OA. There is one solution The souton set is (OOD (Simplity your answers B . There are infinitely many solutions O c. There is no sotution Click to select and enter your answerts) and then cick Check Answer Clear A Type here to search &1 5 6 8 FGHJK

Explanation / Answer

Augmented matrix for given system of equations

solution using Gauss-Jordan elimination

Your matrix

Find the pivot in the 1st column and swap the 2nd and the 1st rows

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by -19

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by -73/19

Eliminate the 3rd column

Solution set:

x = 1

y = -3

z = 2

X1 X2 X3 b 1 6 -1 3 15 2 1 3 -1 -10 3 3 3 -4 -14

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