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:

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "