Solve each of the following systems of equations graphically:

3x + 2y = 4,


2x – 3y = 7.

For equation, 3x + 2y = 4


First, take x = 0 and find the value of y.


x



0



4/3



y



2



0



Now similarly solve for equation, 2x - 3y = 7


x



0



7/2



y



- 7/3



0



Plot the values in a graph and find the intersecting point for the solution.



Hence, the solution so obtained from the graph is (2, - 1), which is the intersecting point of the two lines.


2