The reduced row echelon form of a system of linear equations is given. Write the

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 x and y as variables Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [1 0 0 1|-9 6] What equation does the first row represent? (Type an equation.) What equation does the second row represent? (Type an equation.) 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 box to complete your choice. A. The system is consistent. The solution is (Type an ordered pair Simplify your answer.) B. The system is consistent. There are infinitely many solutions. The solution can be written as {(x, y)|x = y is any real number}.

Explanation / Answer

first row represents

1x + 0y = -9

or

x = -9

second row represents

0x + 1y = 6

or y = 6

the system is consistent . the solution is -9 , 6

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