Respuesta :

Answer:

x = -1, y = -1 and x = [tex]\frac{1}{2}[/tex] , y = 2

Step-by-step explanation:

To find the solution of the system of equations from their graphs find the intersection points between the two graphs, they are the solution of the system

In the given figure

f(x) = 2x + 1

∴ It is represented graphically by a line

g(x) = [tex]\frac{1}{x}[/tex]

∴ It is represented graphically by two curved lines on 1st and 3rd

   quadrants

∵ The solution of the system of the equations is the points of

   the intersection of the two graphs

∵ The two graphs intersected at points (-1, -1) and ([tex]\frac{1}{2}[/tex] , 2)

∴ The solution of the system of the equations is (-1, -1) and ([tex]\frac{1}{2}[/tex] , 2)

x = -1, y = -1 and x = [tex]\frac{1}{2}[/tex] , y = 2