Hello student,
Please find the answer to your question below
Here det A is not 0 hence rank of A=3
Also if we write augmented matrix C=[A B]
we get c=

By doing row operations R2=R2-R1,R1=R1-R2,R3=R3-5R2
c=

so Rank of c=3
Hence the given system of equations is consistent with a unique solution