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.