Answer
True for all values of $x$ and $y$.
Work Step by Step
equation 1 $$0.6x - 0.3y = -1.5$$ equation 2 $$0.04x - 0.02y = -0.1$$
Multiply equation 1 by $-0.04$ and equation 2 by $0.6$
equation 1
$$[0.6x - 0.3y = -1.5]\cdot-0.04$$ $$-0.024x+0.012y=0.06$$
equation 2
$$[0.04x - 0.02y = -0.1]\cdot0.6$$ $$0.024x-0.012y=0.06$$
Add both equations:
$$-0.024x+0.012y=0.06$$ $$0.024x-0.012y=0.06$$ $$0=0$$
Thus, the system is true for all values of $x$ and $y$.