Find the ordered pair (s,t) that satisfies the system
s/2 + 5t = 3
3t - 6s = 9 + 5t
Multiply the first equation through by 2
s + 10t = 6 → s = 6 - 10t
Sub this into the second equation
3t - 6(6 - 10t) = 9 + 5t
3t - 36 + 60t = 9 + 5t
63t - 36 = 9 + 5t
63t -5t = 9 + 36
58t = 45
t = 45 / 58
s = 6 - 10( 45 /58) = -51/29