Answer :
a.)
[tex]\begin{cases}y_1=1+3x \\ y_2=3+2x\end{cases}[/tex]b.)
[tex]1+3x=3+2x\rightarrow3x-2x=3-1\rightarrow x=2[/tex]so for a ride of 2 miles the cost will be the same for both companies
c.)for a ride of 10 miles we get that the cost for each company is
[tex]\begin{gathered} y_1=1+3\cdot10=31 \\ y_2=3+2\cdot10=23 \end{gathered}[/tex]So Madeline's is cheaper