Answer
$(-6, 3)$
Work Step by Step
Given system is-
$0.2x -0.2y$ = $-1.8$ __ eq.1
$-0.3x +0.5y$ = $3.3$ __ eq.2
Multiplying eq.1 by '5'-
$1.0x -1.0y$ = $-9.0$
i.e. $x -y$ = $-9$
i.e. $x$ = $y-9$ __ eq.3
Multiplying eq.2 by '10'-
$-3x +5y$ = $33$ __ eq.4
Substituting for x in eq.4 from eq.3-
$-3(y-9) +5y$ = $33$
i.e. $-3y+27 +5y$ = $33$
i.e. $2y$ = $33-27$ = $6$
i.e. $y $ = $3$
Substituting for y in eq.3 -
$x$ = $3-9$
i.e. $x $ = $-6$
Thus $(-6, 3)$ is the solution of given system.