Answer
$$x=\frac{-3}{2}$$ $$y=\frac{15}{2}$$
Work Step by Step
equation 1 $$10x + 2y = 0$$ equation 2 $$3x + 5y = 33$$
Multiply equation 1 by $-3$ and equation 2 by $10$:
equation 1: $$[10x + 2y = 0]\cdot-3$$ $$-30x -6y = 0$$
equation 2: $$[3x + 5y = 33]\cdot10$$ $$30x +50y = 330$$
Add both equations:
$$-30x -6y = 0$$ $$30x +50y = 330$$ $$44y=330$$ $$y=\frac{330}{44}$$ $$y=\frac{15}{2}$$
Substitute this value of $x$ to equation 1:
$$-30x -6y = 0$$ $$-30x -6(\frac{15}{2}) = 0$$ $$-30x -45 = 0$$ $$-30x=45$$ $$x=\frac{45}{-30}$$ $$x=\frac{-3}{2}$$
