For the following pair of lines, identify the system by type.

a) consistent
b) equivalent
c) inconsistent

ANSWER

C) inconsistent

EXPLANATION

The given system is inconsistent.

The two lines are parallel and have distinct y-intercepts.

This means that the two lines will never meet.

Since the two lines have no points of intersection, it means the system of equations they represent has no solution.

Therefore the system is inconsistent.

The correct choice is C

d

step-by-step explanation:

d

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice