Answer:
Movies cost $2.50 and video games cost $5.50
Step-by-step explanation:
Let the rental cost of movies be x and the rental cost of video games y
12x + 2y = 41
3x + 5y = 35
Solve by substitution
Answer:
Movie price: $2.5
Video game price: $5.5
Step-by-step explanation:
First month
12 movies ([tex]m[/tex]);
2 video games ([tex]v[/tex]);
Cost: $41
Second month
3 movies ([tex]m[/tex]);
5 video games ([tex]v[/tex]);
Cost: $35
[tex]$\left \{ {{12m+2v=41} \atop {3m+5v=35}} \right.$[/tex]
[tex]$\left \{ {{12m+2v=41} \atop {3(-4)m+5(-4)v=(-4)35}} \right.$[/tex]
[tex]$\left \{ {{12m+2v=41} \atop {-12m+-20v=-140}} \right.$[/tex]
[tex]-18v=-99[/tex]
[tex]v=5.5[/tex]
[tex]12m+2(5.5)=41[/tex]
[tex]12m+11=41[/tex]
[tex]12m=30[/tex]
[tex]m=2.5[/tex]
