Solve each of the following systems of equations graphically: 2x – 5y + 4 = 0, 2x + y – 8 = 0.

Question

Philoid · Accepted Answer

We can rewrite the equations as:

2x – 5y = - 4

& 2x + y = 8

For equation, 2x – 5y = - 4

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

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

x	0	- 2
y	4/5	0

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

x	0	4
y	8	0

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

Hence, the solution so obtained from the graph is (3,2), which is the intersecting point of the two lines.