Question

Solve using a system of equations. Lucia wants to go ice skating. She must pay for admission and then rent ice-skates. Rates for two rinks near her home are shown below.
Ice Plex
$5 for Admission plus $2 per hour of skate rental
Skate World
$10 for admission plus $1 per hour for skate rental
Let x represent the cost of admission in dollars and let y represent the number of hours skates are rented for. Write a system of equations to represent the problem.
Please help! I cannot figure this out

Answer 1

$y=2x+5\\y=1x+10\\\\y=2x+5=x+10\\x=5$

The two equations are above. It is better to go to Ice Plex for skates under five hours and Skate World for skates over five hours.