# How do you solve the system of equations 7x + y = 184 and 7y + x = 88?

Mar 19, 2018

$x = 25$
$y = 9$

#### Explanation:

Let's solve for one variable, first.

$7 x + y = 184$

$y = - 7 x + 184$

Plug in $y$ to find $x$.

$7 \left(- 7 x + 184\right) + x = 88$

$- 49 x + 1288 + x = 88$

Combine like terms.

$- 48 x + 1288 = 88$

Simplify

$- 48 x = - 1200$

$x = 25$

Solve for $y$ by plugging in $x$.

$7 \left(25\right) + y = 184$

$175 + y = 184$

$y = 9$