Question

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

Answer 1

Eliminate 'y' by equating 
8x - 40 = x^2 - 2x - 15 
x^2 - 2x - 8x - 15 + 40 = 0 
x^2 - 10x + 25 = 0 
(x - 5)(x - 5) = 0 
(x - 5)^2 

Hence x = 5 is the only solution for 'x'. 

Substitute in to the linear eq;n for 'y' 
y = 8(5) - 40 
y = 40 - 40 
y = 0 

Hence the solution in ( x,y) form is ( 5,0).

Shoutout to @lenpol7 


Have an amazing day and stay hopeful!

Answer 2

Hi,

The Answer to this question is:

B) (5,0)

Hope this Helps!