# 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.

Sep 26, 2016

This system of equations is inconsistent.

#### Explanation:

Notice that if you divide both sides of the first equation by $2$ then you get:

$2 x + y = - 3$

From the second equation:

$2 x + y = 8$

So if both equations hold then $- 3 = 8$, which is false.

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.