If the system of equations `ax+y=1,x+2y=3,2x+3y=5` are consistent, then a is given by

If the system of equations ax +y=3,x+2y=3 , 3x+4y=7 is consistent then value of a is given by

The system of equations x+2y=3,2x-3y=5 and x -12y =1 has

Examine the consistency of the following systems of equations x+y+z=3,2x+2y-z=3,x+y+z=1 are consistent and if consistent solve it completely.

If the equations 2x+3y+1=0,2x+y-1=0 and ax+2y-b=0 are consistent, then

Determine, graphically whether the system of equations x-2y=2,4x-2y=5 is consistent or in-consistent.

Determine,graphically whether the system of equations x-2y=2,4x-2y=5 is consistent or in-consistent.

Examine the consistency of the system of equations given by x + 2y = 2, 2x + 3y = 3 Note: the system of equations of the form AX = B is consistent, if |A| != 0 . If |A| = 0 and (adjoint of A)(B) = 0 then the system of equations is consistent and if (Adjoint of A) (B) != 0 . Then the system of equation is inconsistent.

If the system of linear equations given by x+y+z=3 2x+y-z=3 x+y-z=1 is consistent and if (alpha ,beta,gamma) is a solution then 2alpha+2beta+gamma = ______