Solve the system of linear equations and check any solutions algebraically.

Eq 1 : 

Eq 2 : 

Eq 3 :

Multiply equation 1 by -1,

Now add the above equation and equation 2,

Eq 4:

Multiply equation 1 by -2,

Now add the above equation and equation 3,

Eq 5 : 

Now add the equation 4 and equation 5 i.e.,

adding the above equations,

0=2

Hence the equations are inconsistent and have no solution