Criterion for consistency of system of linear equations

System OF linear equation 1

Solutions set of system of linear equations

Examine the consistency of the system of linear equtions in 1 to 6 x+3y=5 2x+6y=8

Examine the consistency of the system of linear equtions in 1 to 6 x+2y=2 2x+3y=3

Examine the consistency of the system of linear equtions in 1 to 6 2x-y=5 x+y=4

Consistency Of Linear Equations

Cramer's rule for system of n linear equations

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.

Examine whether the following system of linear equations is consistent or not. If consistent solve the system : 7x+3y=0, 4x-5y=0

Examine whether the following system of linear equations is consistent or not. If consistent solve the system : 5x+7y+2=0, 4x+6y+3=0