Answer
$(-0.71, -1.72)$
Work Step by Step
Given system is-
$18.72x -14.91 y$ = $12.33$ __ eq.1
$6.21x -12.92y$ = $17.82$ __ eq.2
Solving eq.1 for 'y'-
$14.91 y$ = $18.72x-12.33$
i.e. $ y$ = $\frac{18.72}{14.91}x-\frac{12.33}{14.91}$
i.e. $ y$ = $1.26x - 0.83$ __ eq.3
Solving eq.2 for 'y'-
$12.92 y$ = $6.21 x-17.82$
i.e. $ y$ = $\frac{6.21}{12.92}x-\frac{17.82}{12.92}$
i.e. $ y$ = $0.48x - 1.38$ __ eq.4
Graphing eq.3 and eq.4 we get intersecting lines. Hence using Intersect we get-
$x$= $-0.71$ and $y$= $-1.72$
i.e. $(-0.71, -1.72)$ is the solution of system.