Answer to Question #313689 in Linear Algebra for Joshu

Question

What is grapichal method of 2x-3y=7; 3x+y=5

Answer 1

Solution

The two equations $2x-3y=7$ and $3x+y=5$ are plotted as shown below.

We can see that the two lines intersect at the point $(2, -1)$.

Hence the two linear equations $2x-3y=7$ and $3x+y=5$ give solution $(x,y)=(2,-1)$

Therefore, the graphical method is a method that can be used to find the point of intersection between two non-parallel lines.