Answer
Ordered pair solution $(0,-9)$
Work Step by Step
We have $$(1) 4x-y=9$$ $$(2)2x+3y=-27$$
From (1) $$(3)y = 4x-9$$
Substituting (3) in (2) $$2x+3(4x-9)=-27$$ $$2x+12x-27 = -27$$ $$14x=0$$ $$x=0$$
Solving for $y$ $$y = 4(0) -9 = -9$$
Ordered pair solution $(0,-9)$