Solve each of the following systems of equations graphically: 2x – 3y + 13 = 0 3x – 2y + 12 = 0.

Question

Philoid · Accepted Answer

We can rewrite the equations as:

2x – 3y = - 13

& 3x – 2y = - 12

For equation, 2x – 3y = - 13

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

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

x	0	- 13/2
y	13/3	0

Now similarly solve for equation, 3x – 2y = - 12

x	0	- 4
y	6	0

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

Hence, the solution so obtained from the graph is ( - 2,3), which is the intersecting point of the two lines.