# How do you solve the following system: x+y=4 , x-10y=10 ?

Mar 23, 2018

$\left(x , y\right) = \left(\frac{50}{11} , - \frac{6}{11}\right)$

#### Explanation:

$y = 4 - x$ solve for y in terms of x
$x - 10 \left(4 - x\right) = 10$ plug into other equation
$x - 40 + 10 x = 10$ distribute
$11 x = 50$
$x = \frac{50}{11}$
$y = \frac{44}{11} - \frac{50}{11}$
$y = - \frac{6}{11}$