# 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#?

##### 1 Answer

Apr 5, 2017

#### Answer:

The system is consistent.

Point of intersection

#### Explanation:

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: