Answer
Ordered pair solution $(2,-9)$
Work Step by Step
We have $$(1) \frac{2}{5}x+\frac{1}{5}y=-1$$ $$(2)x+\frac{2}{5}y=-\frac{8}{5}$$
From (2) $$(3)x = -\frac{8}{5}-\frac{2}{5}y$$
Substituting (3) in (1) $$\frac{2}{5}(-\frac{8}{5}-\frac{2}{5}y)+\frac{1}{5}y= -1$$ $$-\frac{16}{25}-\frac{4}{25}y+\frac{1}{5}y= -1$$ $$\frac{1}{25}y=\frac{-9}{25}$$ $$y = \frac{-9*25}{25} = -9$$
Solving for $x$ $$x = -\frac{8}{5}-\frac{2}{5}*(-9) = 2$$
Ordered pair solution $(2,-9)$