Question

You have 26 video games in your collection.Some are for the X-Box system and someare for PlayStation. You have 4 fewerPlaystation games than X-Box games.Write a variable expression to model thesituation. How many of each type of gamedo you have?

Answer 1

Total number of videogames = 26

PLaystation games = y

x box games = x

x+y=26

You have 4 fewer (-4) PlayStation games than X-Box games.

y = x-4

The system is:

x+y=26 (a)

y = x-4 (b)

Puy (b) into (a)

x+ (x-4) =26

x+x-4 =26

Solve for x:

2x= 26+4

2x=30

x=30/2

x=15 (c)

(c) into (b)

y=15-4

y=11

X box games = 15

Playstation games = 11