Solve for y both expressions and make them equal.
[tex]\begin{gathered} -5y=-2x \\ y=\frac{2}{5}x \end{gathered}[/tex][tex]\begin{gathered} 2x+3y=0 \\ 3y=-2x \\ y=-\frac{2}{3}x \end{gathered}[/tex][tex]\begin{gathered} \frac{2}{5}x=-\frac{2}{3}x \\ \frac{2}{5}x+\frac{2}{3}x=0 \\ \frac{16}{15}x=0 \\ x=0 \end{gathered}[/tex]Using this value of x, find y:
[tex]\begin{gathered} y=\frac{2}{5}x \\ y=0 \end{gathered}[/tex]The solution of this system is x=0 and y=0
