<u>Given</u>:
The system of linear equations are
and 
We need to determine the solution to the system of equations by graphing.
<u>Graphing the equation </u>
<u>:</u>
To graph the equation
, 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>
To graph the equation
, 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
, we get;





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



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