The system of equations is $\"\"$ .

Definition of augment matrix:

If $\"\"$ are the system of equations then the augmented matrix is $\"\"$ .

Augment matrix of the system of equations is

$\"\"$

Apply $\"\"$ .

$\"\"$

Number of variables $\"\"$ .

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

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

Rank of $\"\"$ < Rank of $\"\"$ , the system has infinitely many solutions.

Solutions of system of equations are

$\"\"$

Where $\"\"$ is any real number.

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

Infinitely many solutions.

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