The reduced row echelon form of a system of linear equations

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. y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Matrix What equation does the forst6 row represent?

Solution

x = -4

y = 3

0 = -5

The last row given an incosistent equation which means the system is incosistent

The first row gives the solution for first variable : x= -4