# How do you find the solution of the system of equations 2x-y=-1 and 3x+2y=-5?

May 18, 2015

You an isolate one variable in one equation and then substitute its value in the other equation, as follows:

Let's isolate $y$ in the first one.

$y = 2 x + 1$

Now, substituting in the second:

$3 x + 2 \left(2 x + 1\right) = - 5$

$3 x + 4 x + 2 = - 5$
$7 x = - 7$
$x = - 1$

If $x = - 1$ and $y = 2 x + 1$, then $y = 2 \left(- 1\right) + 1 = - 1$.

Then, $x = y = - 1$