# How do you solve 2x – 8y = 8 and -x + 4y = 4 ?

Aug 26, 2016

You need to manipulate the equations just a bit

#### Explanation:

The equations given:

$2 x - 8 y = 8$, and
$- x + 4 y = 4$

may be put in a more convenient form. For example, if we divide the whole first equation by 2, the solutions don't change:

$x - 4 y = 4$,

so now we can add the two equations and eliminate $x$. But when we try to do that, we see that we also eliminate $y$, and we end up with the following:

$0 = 8$

which is false. The answer is then that the system given has no solutions.