Question

What type of system of linear equations is this?

y = –3x – 1
3x + y = – 1
A.
consistent and independent
B.
consistent and dependent
C.
inconsistent
D.
independent and inconsistent

Answer 1

You need to know definitions.

Consistent means there is a solution (at least one solution). I.e., the lines cross at a single point, or they are on top of each other (the same line).
Inconsistent means there is no solution. I.e., the lines don't cross.
Independent means they are separate lines, i.e., you will have one solution.
Dependent means they are the equations of the same line, i.e., you will have infinite many solutions. So, for this problem, you need to solve the system of equations.

Answer 2

So, solve the system of equations. If you have one solution, it is a consistent, independent system. If you have infinite solutions, it is a consistent, dependent system. If you have no solutions, it is inconsistent.

Answer 3

If you need a tutorial on solving a system of linear equations, go here:

http://www.mathwarehouse.com/algebra/linear_equation/systems-of-equation/index.php