Question

Determine whether the system of equations is consistent or inconsistent and if it is independent or dependent.

3x+y=−5
3y+15=−9x
Multiple choice question.

A)
consistent and dependent

B)
consistent and independent

C)
inconsistent

D)
inconsistent and dependent

Answer 1

C) inconsistent

Explanation:

3x+y=−5

3y+15=−9x

3x + y = -5

9x + 3y = 15

3x + y = -5

3x + y = 5

The system graphs as two parallel lines.

Answer: C) inconsistent