Dec 9, 2016

$x = - 2$ and $y = - 3$

Explanation:

Step 1) Solve the second equation for $x$:

$x + y - y = - 5 - y$

$x + 0 = - 5 - y$

$x = - 5 - y$

Step 2) Substitute $- 5 - y$ for $x$ in the first equation and solve for $y$:

$3 \left(- 5 - y\right) - 2 y = 0$

$- 15 - 3 y - 2 y = 0$

$15 - 15 - 5 y = 0 + 15$

$0 - 5 y = 15$

$- 5 y = 15$

$\frac{- 5 y}{- 5} = \frac{15}{- 5}$

$y = - 3$

Now substitute $- 3$ for $y$ in the solution to the second equation in Step 1) and calculate $x$.

$x = - 5 - \left(- 3\right)$

$x = - 5 + 3$

$x = - 2$