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#?

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Answer 1 · 2017-04-05T10:40:53

The system is consistent.

Point of intersection #->(x,y)=(3,-1) #

Manipulation of these equations gives:

#y=-2/3x+1#

#y=3/2x-11/2#

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:

Tony B