Solve the system {f (x) = 2x-1 {g (x) = x^2-4

2 sets of possible solutions:

x=3, y = 5

and

x=-1, y = -3

Step-by-step explanation:

Using the graphical method, (see attached)

you can graph both equations and find their intersection points.

From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)

Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.

y = 2x + 1 ------------------- eq. (1)

y = x² - 4 ------------------- eq. (2)

B) Lilly and Paul played video games for a total of 21 hours over the weekend. The amount of time Lilly played can be represented by x. The amount of time Paul played is 2 times the amount Lilly played. What is x, the amount of time played by Lilly?

Step-by-step explanation: