Solve each of the following systems of equations graphically:

Question

Solve each of the following systems of equations graphically: 2x + 3y = 2, x – 2y = 8.

Philoid · Accepted Answer

For equation, 2x + 3y = 2

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

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

x	0	1
y	2/3	0

Now similarly solve for equation, x - 2y = 8

x	0	8
y	- 4	0

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

Hence, the solution so obtained from the graph is (4, - 2), which is the intersecting point of the two lines.