Question

On apiece of paper graph this system of equations y=x-8 y=x^2-2x-3 then determine which answer choice matches the graph you drew and identify the solution(s) to the system

A. solutions: (-2,6) and (5,13)
B. no solution
C. no solution
D. solutions: (-5,-13) and (2,-6

Answer 1

No solution.

Explanation:

y = x - 8

y = x² - 2x - 3

Let's find the point where the lines meet;

x - 8 = x² - 2x - 3

x² - 2x + x - 3 + 8 = 0

x² - x + 5 = 0

Applying the quadratic formula method we get,

It will give the value of "x" a complex number hence that graph does not have a solution.