The augmented matrix is . \ \

Augment matrix of the system of equations is .

Apply and .

Apply .

Apply .

Step 2:

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 and .

Consider then

Substitute and in .

The solutions of system is , where is any real number. \ \

Solution:

Infinitely many solutions.

The solutions of system is , where is any real number.