A driver of a car took a day trip around the coastline driving at two different speeds. He drove 80 miles at a slower speed and 400 miles at a speed 20 miles per hour faster. If the time spent driving at the faster speed was thrice that spent driving at the slower speed, find the two speeds during the trip.

Shelly bought a house five years ago for $150,000 and obtained an 80% loan. now the home is worth $140,000 and her loan balance has been reduced by $12,000. what is shelly's current equity?

Twice the sum of a number and 2 is equal to three times the difference of the number and 8. find the number.

The monthly texting plan of all star cell is $11 per month and $0.25 per text. the monthly texting plan of top line cell is $14 per month and $0.15 per text. a student wants to set up a system of equations to find the number of texts for which the total monthly cost of the two companies is the same. he uses the variables x and y. he lets y represent the total monthly cost. what will x represent? x = number of texts x = cost of the total number of texts x = total monthly cost x = cost of each text