Question

Which BEST describes the system of equations?

x = y − 3
−4x = 12 − 4y
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent

Answer 1

it is B) inconsistent

Answer 2

what do you think so far?

Answer 3

try finding the definitions first

Answer 4

then you can check your answer

Answer 5

old question but will respond so this can be closed

I disagree with inconsistent for the reasons I will discuss below:

x = y − 3
−4x = 12 − 4y

notice how, if you multiply the first equation by -4, and re-arrange accordingly, both equations are equal. one of the other answer choices better describes a system with two equivalent equations (two overlapping graphs)