Solve the following systems by graphing.
1. x + 2y = 4
2x -y = 3

Given:

The system of linear equations are and

We need to determine the solution to the system of equations by graphing.

Graphing the equation :

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

Graphing the equation :

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

Solution:

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)