Question

Please help me with this question.

Answer 1

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.