Question A:
-x + 2y = 16 y = mx + 8
Solving first equation for y:
2y = x + 16
y = (1/2)x + 16/2 = (1/2)x + 8
y = (1/2)x + 8
Answer:
m = 1/2
Because with this value of m, for any value of x, both equations will get the same value of y
Question B:
2x - y = 2 y = mx + 5
Solving first equation for y:
y = 2x - 2
Answer:
m = 2
Because with this value of m, both equations reperesent parallel lines, taht never cross each other, therefore there will be no solution