Find the ordered pair $(s,t)$ that satisfies the system
\begin{align*}
\dfrac{s}{2} + 5t &= 3,\\
3t - 6s &= 9.
\end{ali
gn*}
\(\begin{align*} \dfrac{s}{2} + 5t &= 3,\\ 3t - 6s &= 9. \end{align*}\)
so ill first multiply the top equation by twelve to get 6s+60t=36
ill rearange the second equation to get -6s+3t=9
ill "add" the two equations to cancel out the s to get 63t=45
t=5/7
ill substitute t back into the first equation to get s/2+25/7=3
multiplying by two gets s+50/7=6
s=6-50/7
s=42/7-50/7
s=-8/7
so the ordered pair \((s,t)\)would be \(\boxed{(-\frac{8}{7},\frac{5}{7})}\)