Question

Prove that the lines x+y=5, 2x–y=16 and x+2y=3 intersect at one point. What are the coordinates of this point?

Answer 1

The point of intersection is

(7,-2)

Explanation:

We can easily solve this equation by plotting each graph in a graphing tool or calculator.

If we do this, we can find the intersection between the three lines and prove that it exists.

We are solving the system of equations

x+y=5

2x–y=16

x+2y=3

Please see attached picture.

The point of intersection is

(7,-2)