SOLUTION: Given the linear system
3x+4y=s
6x+8y=t
(a)determine particular values for s and t so that the system is consistent.
(b)determine particular values for s and t so that the syst
Algebra ->
Matrices-and-determiminant
-> SOLUTION: Given the linear system
3x+4y=s
6x+8y=t
(a)determine particular values for s and t so that the system is consistent.
(b)determine particular values for s and t so that the syst
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Question 391924: Given the linear system
3x+4y=s
6x+8y=t
(a)determine particular values for s and t so that the system is consistent.
(b)determine particular values for s and t so that the system is inconsistent.
(c)what relationship between the values of s and t will guarantee that the system is consistent? Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! (a) Let t = 10 and s = 5. Then the system is consistent. (But the system is dependent, i.e., it has infinitely many solutions).
(b) Let t = 10 and s = 9. Then the system is inconsistent (representing two parallel lines).
(c) When t = 2s then the system is always consistent (but dependent).
