Question

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

Answer 1

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:
$3x+2y=144$
$2x+5y =217$
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.