Solve each of the following systems of equations graphically:

2x + 3y = 8,


x – 2y + 3 = 0.

We can rewrite the equations as:


2x + 3y = 8


x - 2y = - 3


For equation, 2x + 3y = 8


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


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


x



0



4



y



8/3



0



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


x



0



- 3



y



3/2



0



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



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


3