Solve the following system and identify whether it is dependent or inconsistent. x - 2y = 2 and 14y = 7x + 3
+130511 x - 2y = 2 and 14y = 7x + 3 rearramging, we have
x - 2y = 2
-7x + 14y = 3 multiply the first equation by 7 and add it to the second one....this gives....
7x - 14y = 14
-7x + 14y = 3
------------------
0 = 17
When we have answer like this (non-sensical) it means the system is inconsistent (has no solution). If you take Linear Algebra, you will be able to tell immediately if such a system has a solution, or not.
+130511 x - 2y = 2 and 14y = 7x + 3 rearramging, we have
x - 2y = 2
-7x + 14y = 3 multiply the first equation by 7 and add it to the second one....this gives....
7x - 14y = 14
-7x + 14y = 3
------------------
0 = 17
When we have answer like this (non-sensical) it means the system is inconsistent (has no solution). If you take Linear Algebra, you will be able to tell immediately if such a system has a solution, or not.
