Answer: The rental cost for each movie is $3.25 and each video game is $5.25.
Step-by-step explanation:
Let x = rental cost for each movie
y = rental cost for each video game.
As per given , we have
6x+2y= 30 (i)
3x+5y = 36 (ii)
Multiply 2 on both sides of (ii)
6x+10y=72 (iii)
Eliminate (i) from (iii)
8y=42
⇒ y= 5.25
Put y=5.25 in (ii)
3x+5(5.25)=36
⇒ 3x+26.25 =36
⇒ 3x = 36-26.25
⇒ 3x =9.75
⇒ x = 3.25 [Divide both sides by 3]
Hence, the rental cost for each movie is $3.25 and each video game is $5.25.
