A system of linear equations is just a set of two or more linear equations.
In two variables (x and y), the graph of a system of two equations is a pair of lines in the plane.
There are three possibilities:
How to Solve a System of Equations Using the Graphing Method
This method is useful when you just need a rough answer, or you're pretty sure the intersection happens at integer coordinates. Just graph the two lines, and see where they intersect!
Solve the system by graphing.
y = 0.5x + 2
y = –2x – 3
The two equations are in slope-intercept form.
The first line has a slope of 0.5 and a y-intercept of 2.
The second line has a slope of −2 and a y-intercept of −3.
Graph the two lines as shown.
The solution is where the two lines intersect, the point (–2, 1). That is, x = −2 and y = 1.