Answer
Ordered pair solution $(-1, -1)$
Work Step by Step
We have $$(1)6x-3y = -3$$ $$(2)4x+5y=-9$$
5*(1)+3*(2) $$30x+12x-15y+15y=-15-27$$ $$42x=-42$$ $$x=-1$$
Solving for $y$ $$y = (-3 -6(-1))\div(-3) =-1$$
Ordered pair solution $(-1, -1)$