How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent # 2x + 3y = 3# and #3x – 2y = 11#?
The system is consistent.
Point of intersection
Manipulation of these equations gives:
The gradients are different and the #y_("intercepts")' are different. Therefore the straight lines to cross.
Thus this is a 'consistent' system of equations (has a solution).
Solution by graph: