Question

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use w, x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ 1 0 0 -9 | -6 ; 0 1 1 -1 | 8 ; 0 0 0 0 | 0 ] What equation does the first row represent? What equation does the second row represent? What equation does the third row represent? Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The system is consistent. The solution is ( , , , ). B. The system is consistent. There are infinitely many solutions. The solution can be written as {(w,x,y,z)|w = , x = , y = , z is any real number}. C. The system is consistent. There are infinitely many solutions. The solution can be written as {(w,x,y,z)|w = , x = , y is any real number, z is any real number}. D. The system is inconsistent.

          The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use w, x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ 1 0 0 -9 | -6 ; 0 1 1 -1 | 8 ; 0 0 0 0 | 0 ] What equation does the first row represent? What equation does the second row represent? What equation does the third row represent? Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The system is consistent. The solution is ( , , , ). B. The system is consistent. There are infinitely many solutions. The solution can be written as {(w,x,y,z)|w = , x = , y = , z is any real number}. C. The system is consistent. There are infinitely many solutions. The solution can be written as {(w,x,y,z)|w = , x = , y is any real number, z is any real number}. D. The system is inconsistent.

The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use w, x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ 1 0 0 -9 | -6 ; 0 1 1 -1 | 8 ; 0 0 0 0 | 0 ] What equation does the first row represent? What equation does the second row represent? What equation does the third row represent? Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The system is consistent. The solution is ( , , , ). B. The system is consistent. There are infinitely many solutions. The solution can be written as (w,x,y,z)|w = , x = , y = , z is any real number. C. The system is consistent. There are infinitely many solutions. The solution can be written as (w,x,y,z)|w = , x = , y is any real number, z is any real number. D. The system is inconsistent.

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