Answer
The first number is $-10$ and the second number is $-8$.
Work Step by Step
$x = y-2$ Equation $(1)$
$2x = 3y+4$ Equation $(2)$
Substitute $x$ into Equation $(2)$.
$2(y-2) = 3y+4$
$2y-4 = 3y+4$
$-y=8$
$y=-8$
Substitute $y$ into Equation $(1)$.
$x = -8-2$
$x = -10$
The first number is $-10$ and the second number is $-8$.