Why is it necessary to check solutions to equations contating rational expressions?

A new carpet cleaning company claims that they can clean 3 times as many carpets in 1 week as another company. If both companies combined can 332 carpets in 1 week, how many carpets does the new company clean?

Find the fifth term of the sequence given by the recursive formula t1 = 4 and tn = 2tn-1 - 5

5c - 6 = 4 - 3c I got c = 5 and I have a problem that says c = 5 for this and the equations solution was 2c - 6 = 4 2c = 10 C = 5 Which step do I change and how. Also what is the new solution for c =

Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?

There were 6 women, 4 men, 3 girls, and 5 boys at dinner. In how many ways can 1 woman and 1 man be chosen to set the table?

Nina is the head nurse at a hospital and must order supplies. If 1/4 of a package of bandages lasts 1/8 of the month, how many packages of bandages are need for the entire month? Set it up!

Solving two step equations-7=3g-49

Which of the following graphs represents the line that passes through (-2, - 3) and has a slope of 2/3?

Bicycle city makes custom bicycles. They charge $160 plus $80 for each day that it takes to build the bicycle. If you have $480 to spend on your new bicycle, how many days can it take Bicycle City to build the bike?

According to the formula for stopping distance, how many feet will it take you to stop, from 60 mph? A. 180 B. 600 C. 360 D. 120