Q:

Each week Peggy drives two routes, route X and route Y. One week she drives route X three times and route Y twice. she drives a total of 144 miles that week. Another week she drives route X twice and route Y five times. she drives a total of 217 miles that week. Find the length of each route

Accepted Solution

A:
Ok, great to have you! I will finally answer your question.
This seems to be a system of equations. I solve most of mine on Desmos.
Let us write two equations to model this:
[tex]3x+2y=144[/tex]
[tex]2x+5y =217[/tex]
We get the graph. Note the intersection at (26,33).
That means that route X is 26 miles long,and route Y is 33 miles long!.
Hope this helps.