Solve each of the following systems of equations graphically:
2x + 3y + 5 = 0,
3x + 2y – 12 = 0
We can rewrite the equations as:
2x + 3y = - 5
& 3x + 2y = 12
For equation, 2x + 3y = - 5
First, take x = 0 and find the value of y.
Then, take y = 0 and find the value of x.
x | 0 | - 5/2 |
y | - 5/3 | 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.