<u>Given</u>:
The system of linear equations are  and
 and 
We need to determine the solution to the system of equations by graphing.
<u>Graphing the equation </u> <u>:</u>
<u>:</u>
To graph the equation  , let us determine the x and y intercepts.
, let us determine the x and y intercepts.
x - intercept: When y = 0, then 
y - intercept: When x = 0, then 
The coordinates are (4,0) and (0,2)
Thus, the joining the coordinates of x and y intercept, we get the line for the equation 
<u>Graphing the equation </u> <u>:</u>
<u>:</u>
To graph the equation  , let us determine the x and y intercepts.
, let us determine the x and y intercepts.
x - intercept: When y = 0, then 
y - intercept: When x = 0, then 
The coordinates are (-1.5,0) and (0,-3)
Thus, joining the coordinates of x and y intercepts, we get the line for the equation 
<u>Solution:</u>
The solution of the two equations is the point of intersection of two lines in the graph.
Let us determine the solution using substitution method.
Substituting  in the equation
 in the equation  , we get;
, we get;

     
           
              
                   
Thus, the value of y is 1.
Substituting  in the equation
 in the equation  , we have;
, we have;

      
        
Thus, the value of x is 2.
Therefore, the solution of the system of equations is (2,1)