The point where the graphs of the equations intersect is the solution of the system of equations.
(1,- 3)
Practice makes perfect
We are given the following system of linear equations.
x-y=4 4x+y=1
We are asked to solve the system of linear equations by using the following graph.
In this graph, each line represents one equation from the system. This means that the solution of the system is the point where the graphs of the equations intersect. Therefore, we need to estimate the point of intersection for the system. Let's mark the point of intersection on the graph!
From the graph, we can tell that the point of intersection is (1,- 3). Therefore, the solution of the system can be equal to (1,- 3). We can check this solution by substituting 1 for x and - 3 for y into both equations. Let's do it!
