Answer:
see explanation
Step-by-step explanation:
given the 2 equations
3x - 6y = - 12 → (1)
x - 2y = - 8 → (2)
(a)
Rearrange (2) expressing x in terms of y by adding 2y to both sides
x = 2y - 8
Substitute x = 2y - 8 into (1)
3(2y - 8) - 6y = - 12
6y - 24 - 6y = - 12
- 24 = - 12 ← not possible
Hence there is no solution to the system of equations
(b)
Having no solution means there is no point of intersection between the 2 lines indicating that the lines are parallel to each other.
