Step 1:

The reduced row echelon form of system of equation is

$\"\"$

Number of variables $\"\"$ .

Rank of the Matrix $\"image\"$ is 3.

Rank of the augmented matrix $\"image\"$ is 3.

Rank of $\"image\"$ = Rank of $\"image\"$ < $\"\"$ , the system has infinitely many solution.

Solutions of system of equations are

$\"\"$

The solutions are

$\"\"$

The solutions of system of equations are $\"\"$ .

Solution:

The system of equation is consistent.

$\"\"$

The solutions of system of equations are $\"\"$ .