cASSIFY THESE PROBLEMS AS CONSISTENT INDEPENDENT (ONE SOLUTION), CONSISTENT DEPENDENT (INFINITE SOLUTION, OR INCONSISTENT MO SOLUTION.
x+y=2
x-y=4
x+y=5
y=-x+3
3x-2y=1
-6x+ty=2
cASSIFY THESE PROBLEMS AS CONSISTENT INDEPENDENT (ONE SOLUTION), CONSISTENT DEPENDENT (INFINITE SOLUTION, OR INCONSISTENT MO SOLUTION.
x+y=2
x-y=4
x+y=5
y=-x+3
3x-2y=1
-6x+ty=2
Comments
Kelly, generally these equations have to be paired to answer these questions. For example, you can answer whether the system of equations
x+y=2 and x-y=4 are Consistent Independent, Consistent dependent or inconsistent. But you cannot evaluate this one equation at a time.
There is a good article on what these terms mean at
http://mathforum.org/library/drmath/view/62538.html
I hope this helps. John