Solve the following system by graphing

Question

y=1/3x+2 

3y=x-3

Answer 1

We want to graph both equations on the same coordinate system.  The point of intersection of these lines is your solution.

 

Write both equations in  y=mx+b   form.

 

y = (1 / 3)x + 2

 

y = (1 / 3)x - 1

 

 

Since these equations have the same slope, the lines will never intersect.  Therefore, there are NO SOLUTIONS.