Solve the equation for x and find the restrictions on the variable. Ax + bx = c
1 answer:
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Answer
a) k=7, h=9, 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=9 the system has no solutions.
Step-by-step explanation:
I am assuming that the system is x1+3x2=4; 2x1+kx2=h
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=7 and h=9, 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=9 the system has no solutions because the last equation of the system of the echelon form of the matrix is