Then each movie $1.75 and each video game $5.5 for rental
1) Gathering the data from the question:
1 month = 6 movies and 5 video games for $38
2nd month = 2 movies and 3 video games for $ 20
Each cost of movies and games?
2) Let's call movies by (x) and games (y). Then we can set a system of Linear equations:
6x +5y =38
2x+3y=20
3) Using the addition method:
6x +5y =38
2x+3y=20 Multiplying by (-3)
6x +5y =38
-6x-9y=-60
-----------------
-4y = -22 Multiplying by (-1)
4y = 22 Dividing by 4 on both sides
y = 5.5
4) Let's plug y=5.5 in any equation, let's pick the original one 2x +3y=20
2x +3(5.5) =20
2x +16.5=20 subtract 16.5 on both sides
2x +16.5 -16.5= 20 -16.5
2x =3.5 Dividing both sides by 2
x= 1.75
Then each movie $1.75 and each video game $5.5 for rental
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