Answer
$(-2,1)$
Work Step by Step
Isolate $t$ in eq.$1$
$-5s+t=11\qquad$ ... add $5s$
$t=11+5s\qquad $(*)
Replace $t$ with $11+5s$ in the other equation:
$ 4s+12(11+5s)=4\qquad$ ... and solve for $s$. Simplify
$4s+132+60s=4$
$ 64s+132=4\qquad$ ... subtract 132
$ 64s=-128\qquad$ ... divide with $64$
$s=-2$
Now, back-substitute into (*)
$t=11+5(-2)=11-10=1$
Form an ordered pair $(s,t) $ as the solution to the system
$(-2,1)$