Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Question

Preston and his workout partner are lifting weights together, doing many sets of each exercise. On a certain exercise, Preston is using a 19-kilogram bar, increasing the amount of weight he lifts by 5 kilograms on each set. His partner, meanwhile, started out using a 5-kilogram bar and is upping the weight by adding 7 kilograms on every set. Eventually, Preston and his workout partner will be lifting the same amount, and will take turns using the same barbell. How many sets will they have completed? How much weight will they be lifting then?

After completing________ sets, they will both be lifting________ kilograms

Answer 1

19 + 5x = 5 + 7x

14 = 2x

x = 7 sets

19 + 5(7) = 54 kg