Answer
$(3.87, 2.74)$
Work Step by Step
Given system is-
$0.21x +3.17 y$ = $9.51$ __ eq.1
$2.35x -1.17 y$ = $5.89$ __ eq.2
Solving eq.1 for 'y'-
$3.17 y$ = $9.51-0.21x$
i.e. $ y$ = $\frac{9.51}{3.17}-\frac{0.21}{3.17}x$
i.e. $ y$ = $3 - 0.07 x$ __ eq.3
Solving eq.2 for 'y'-
$1.17 y$ = $2.35 x-5.89$
i.e. $ y$ = $\frac{2.35}{1.17}x-\frac{5.89}{1.17}$
i.e. $ y$ = $2x - 5.03$ __ eq.4
Graphing eq.3 and eq.4 we get intersecting lines. Hence using Intersect we get-
$x$= $3.87$ and $y$= $2.74$
i.e. $(3.87, 2.74)$ is the solution of system.
