# How do you solve the following system?:  x+2=-3y , 2x -1 = -6y

Jul 14, 2016

The system is inconsistent, so, has no soln.

#### Explanation:

From the first eqn. we find $x = - 3 y - 2$

Now we substitute this $x$ in the second eqn., and, get,

$2 \left(- 3 y - 2\right) - 1 = - 6 y \Rightarrow - 6 y - 4 - 1 = - 6 y \Rightarrow - 6 y - 5 = - 6 y \Rightarrow - 6 y + 6 y = 5 \Rightarrow 0 = 5 ,$ which is an impossible result.

Hence, the system is inconsistent, so, has no soln.