What is the solution to the system of equations below y=1/2x-4andy=2x-9 (-2,-5) (-2,-3) (2,-3) (2,-13

solution is (10/3 , -7/3)  for   y = (1/2)x - 4  and  y = 2x - 9

Step-by-step explanation:

y = (1/2)x  - 4

y = 2x - 9

2x - 9 = (1/2)x - 4

(3/2)x =  9 - 4

(3/2)x = 5

x = 10/3

y = 2*(10/3) - 9 = 20/3 - 9 = 20/3 - 27/3 = -7/3

solution is (10/3 , -7/3)   unless you meant to write  y = x - 4 and y = 2x - 9

if so then   x - 4 = 2x -  9   x = 5... but  this is not in your solution set.