# What is x and y in this system of equations: 5x+y = -1 and y=6x+10 ?

Oct 2, 2016

Substitute the second equation into the first equation.

#### Explanation:

The first equation now looks like this:

$5 x + 6 x + 10 = - 1$

Next, combine like terms (5x and 6x) to get $11 x + 10 = - 1$. Subtract 11 from each side to get $11 x = - 11$ and divide each side by 11 to get $x = - 1$.

Let's solve for $y$ now. We're going to need to plug in our x-value into our second equation:

$y = 6 \left(- 1\right) + 10$
$y = - 6 + 10$
$y = 4$

We now have our two answers: $x = - 1 , y = 4$