[tex] \frac{x}{y} = \frac{4}{6} = > 6x = 4y = > x = \frac{4y}{6} = \frac{2y}{3} [/tex]
[tex]m_{a}=\frac{x+y}{2}[/tex]
[tex]m_{a}= - 10[/tex]
[tex] \frac{x + y}{2} = - 10[/tex]
[tex]x + y = 2 \times ( - 10)[/tex]
[tex]x + y = - 20[/tex]
[tex] \frac{2y}{3} + y = - 20 \: | \times 3[/tex]
[tex]2y + 3y = - 60[/tex]
[tex]5y = - 60 \: | \div 5[/tex]
[tex]y = - 12[/tex]
[tex]x = \frac{2y}{3} = \frac{2 \times ( - 12)}{3} = 2 \times ( - 4) = - 8[/tex]
