Answer :
Let:
x = cost of the jacket
y = Cost of the tie
The total cost of a jacket and a tie was $70.71 so:
[tex]x+y=70.71[/tex]the price of the jacket was $5.09 less than the tie, so:
[tex]\begin{gathered} x=y-5.09 \\ so\colon \\ y=x+5.09 \end{gathered}[/tex]Replace y into the original equation:
[tex]\begin{gathered} x+(x+5.09)=70.71 \\ 2x+5.09=70.71 \\ solve_{\text{ }}for_{\text{ }}x\colon \\ 2x=70.71-5.09 \\ 2x=65.62 \\ x=\frac{65.62}{2} \\ x=32.81 \end{gathered}[/tex]Answer:
$32.81
