Question

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

Answer 1

2 sets of possible solutions:

x=3, y = 5

and

x=-1, y = -3

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)