Question

In need of some help with part A :)
((System of differential equations))
http://prntscr.com/bpk5wp

Answer 1

nevermind. i got it.

Answer 2

\[\frac{ dz }{ dt } = \frac{ dx }{ dt } +\frac{ dy }{ dt }\]
\[\alpha(z-\beta) = ky - my - 50k + kx - my + 50m\]
\[\alpha(z - \beta) = (k-m)(y+x-50)\]
\[\therefore \alpha = k - m , \beta = 50\]