Solve each of the following systems of equations graphically:
3x + y + 1 = 0,
2x – 3y + 8 = 0.
We can rewrite the equations as:
3x + y = - 1
& 2x – 3y = - 8
For equation, 3x + y = - 1
First, take x = 0 and find the value of y.
Then, take y = 0 and find the value of x.
x | 0 | - 1/3 |
y | - 1 | 0 |
Now similarly solve for equation, 2x – 3y = - 8
x | 0 | - 4 |
y | 8/3 | 0 |
Plot the values in a graph and find the intersecting point for the solution.
Hence, the solution so obtained from the graph is ( - 1,2), which is the intersecting point of the two lines.
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