Answer:
a) k=1, h=1, the unique solution of the system is
b) If k=6 and h=8 the system has infinite solutions.
c)If k=6 and h=3 the system has no solutions.
Step-by-step explanation:
The augmented matrix of the system is . If two times the row 1 is subtracted to row 2 we get the following matrix .
Then
a) If k=1 and h=1, the unique solution of the system is and solviong for ,
Then the solution is
b) If k=6 and h=8 the system has infinite solutions because the echelon form of the matrix has a free variable.
c)If k=6 and h=3, the system has no solutions because the last equation of the system of the echelon form of the matrix is