#### Answer

$(5, -2)$

#### Work Step by Step

$2x + 3y = 4$
$3x - 4y= 23$
When we multiply the first equation by 4 and the second equation by 3, the system becomes
$8x + 12y = 16$
$9x - 12y = 69$
Adding these equations yields $17x = 85$, so $x = 5$. Substituting $x = 5$ into the first equation, we get $10 + 3y = 4$, so $3y = -6$. Then $y = -2$. So the solution is $(5, -2)$.