Answer
$(-3, -7)$
Work Step by Step
Given system is-
$8s-3t$ = $-3$ __ eq.1
$5s-2t$ = $-1$ __ eq.2
Multiplying eq.1 by 2 and eq.2 by -3
$16s-6t$ = $-6$ __ eq.3
$-15s+6t$ = $3$ __ eq.4
Adding eq.3 and eq.4 -
$16s-6t-15s+6t$ = $-6+3$
i.e. $s$ = $-3$
Substituting for $s$ in eq.2
$5(-3)-2t$ = $-1$
i.e. $-15-2t$ = $-1$
i.e. $-2t$ = $-1+15$ =$14$
i.e. $t$ = $\frac{14}{-2}$
i.e. $t$ = $-7$
Thus $(-3, -7)$ is the solution of given system.
