Answer:
D. No, the system of equations has no solution.
Step-by-step explanation:
To find out whether Lisa is correct, lets solve by following the steps below;
x=4y-4
-------------------------------------------------------------------(1)
2x-8y=-24--------------------------------------------------------------(2)
Lets rearrange equation (1)
x - 4y = -4 ------------------------------------------------------------------(1)
2x-8y=-24--------------------------------------------------------------(2)
Multiply through equation (1) by 2
2x-8y=-24--------------------------------------------------------------(2)
2x - 8y = -8 --------------------------------------------------------(3)
subtract (2) from equation (1)
0 =-16
but 0 ≠ -16
This implies that the system of equations has no solution.