Solve the system of equations by graphing. x+y=6 4x+y=20

The solution to the system of equations is

Explanation:

Given that the two equations are and

We need to determine the solution of the system of equations graphically.

Let us consider the equation

We shall plot the equation in the graph using the x and y intercepts.

Substituting , we get,

Substituting , we get,

Thus, the x and y intercepts of the equation are and respectively.

Hence, joining these two coordinates, we get, the line for the equation

Now, we shall consider the equation

We shall plot the equation in the graph using the x and y intercepts.

Substituting , we get,

Substituting , we get,

Thus, the x and y intercepts of the equation are and respectively.

Hence, joining these two coordinates, we get, the line for the equation

The solution to the system of equations is the point of intersection of these two lines.

Hence, the point of intersection of these two lines is

Therefore, the solution to the system of equations is

The image of the graph containing the solution is attached below:

answer:

c. the third graph