Discussion





First off, please stop SHOUTING!



Definitions:



Consistent and dependent:  Identical slopes and intercepts, i.e. they are

the same line.  Infinite solutions

Consistent and independent:  Different slopes.  Intersect in one point.  One

solution.

Inconsistent:  Identical slopes, different intercepts.  Parallel lines. No

solution.









Solution













Since you have an expression that is equal to x, i.e. the first equation,

you can substitute this expression for x in the other equation







Solve for y:













Substitute this value for y into the first equation:









So your solution is the ordered pair (-3,2)





Since there is only one solution, the system is consistent and independent.









 

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