Answer: The rental cost for each movie is $3.5 and each video game is $5.
Step-by-step explanation:
Let x= rental cost for each movie
y = rental cost for each movie video game.
As per given,
2x+5y = 32 (i)
8x+3y=43 (ii)
Multiply 4 on both sides of equation (i)
8x+20y = 128 (iii)
Eliminate (ii) from (iii)
17y=85
⇒ y = 5 [divide both sides by 17]
Put this in (i)
2x+5(5)=32
⇒ 2x+25= 32
⇒ 2x= 7
⇒ x = 3.5 [divide both sides by 2]
Hence, the rental cost for each movie is $3.5 and each video game is $5.
