Answer
$9.96$ dollars
Work Step by Step
$x$ = cost of a package of bacon
$y$ = cost of a carton of eggs
$3x + 2y = 13.45$
$2x + 3y = 11.45$
To eliminate y we multiply the first equation by 3 and the second one by -2
$9x + 6y = 40.35$
$-4x - 6y = -22.90$
$9x + (-4x) = 40.35 - 22.90$
$5x = 17.45$
$x=3.49$
$3 \times 3.49 + 2y = 13.45$
$10.47 + 2y = 13.45$
$2y = 13.45 - 10.47$
$2y = 2.98$
$y = 1.49$
$x=3.49$
$y=1.49$
$2 \times 3.49 + 2 \times 1.49 = 6.98 + 2.98 = 9.96$