# How do you solve 2x + 5y = -18 and 3x - 5y = 23?

$x = 1 , y = - 4.$
We add the given eqns. to get, $\left(2 x + 5 y\right) + \left(3 x - 5 y\right) = - 18 + 23$
$\therefore 5 x = 5 , \mathmr{and} , x = 1.$
To get $y$, we use, $x = 1$ in the first eqn. & get, $2 + 5 y = - 18$, or, $5 y = - 20$, so that, $y = - 4.$
The soln. is $x = 1 , y = - 4.$