Question

The graph shows the functions

Answer 1

x = -1, y = -1 and x =
`(1)/(2)` , y = 2

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) =
`(1)/(x)`

∴ 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 (
`(1)/(2)` , 2)

∴ The solution of the system of the equations is (-1, -1) and (
`(1)/(2)` , 2)

∴ x = -1, y = -1 and x =
`(1)/(2)` , y = 2