#### Answer

$(2,-2)$

#### Work Step by Step

Isolate $t$ in eq.$2$
$ 5s+t=8\qquad$ ... subtract $5s$
$t=8-5s\qquad $(*)
Replace $t$ with $8-5s$ in the other equation:
$ 3s-4(8-5s)=14\qquad$ ... and solve for $x$. Simplify
$3s-32+20s=14$
$ 23s-32=14\qquad$ ... add 32
$ 23s=46\qquad$ ... divide with $23$
$s=2$
Now, back-substitute into (*)
$t=8-5(2)=8-10=-2$
Form an ordered pair $(s,t) $ as the solution to the system
$(2,-2)$