# Are these system of equations consistent, inconsistent, or dependent?

##
4x + 2y = -6

2x + y = 8

I really do not know how to solve these kinds of problems. I want to know how to solve them ** **without** ** graphing.

4x + 2y = -6

2x + y = 8

I really do not know how to solve these kinds of problems. I want to know how to solve them ** **without** ** graphing.

##### 1 Answer

Sep 26, 2016

#### Answer:

This system of equations is inconsistent.

#### Explanation:

Notice that if you divide both sides of the first equation by

#2x+y = -3#

From the second equation:

#2x+y = 8#

So if both equations hold then

So the system of equations is inconsistent.

If you did graph the two equations, then you would get two parallel lines, having no point of intersection.