# How do you solve using elimination of 2x+y=4 and -2x-y=4?

##### 1 Answer
May 12, 2018

The equations have no solutions!

#### Explanation:

If $\left(x , y\right)$ had existed that satisfied

$2 x + y = 4$ and $- 2 x - y = 4$,

adding them would yield the contradiction

$0 = 8$

So, no such $\left(x , y\right)$ can exist.

Alternatively, the two equations represent two straight lines that have the same slope (namely, -2 ) and different intercepts (4 and -4, respectively). So, they are parallel lines that never intersect.