Solve each of the following systems of equations graphically: x + 2y + 2 = 0, 3x + 2 y - 2 = 0.

Question

Philoid · Accepted Answer

We can rewrite the equations as:

x + 2y = - 2

& 3x + 2y = 2

For equation, x + 2y = - 2

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

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

x	0	- 2
y	- 1	0

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

x	0	2/3
y	1	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, - 2), which is the intersecting point of the two lines.