Answer :
The rental cost of one movie is $1.5 and one video game costs $6.
Step-by-step explanation:
Let,
Cost of one movie = x
Cost of one video game = y
According to given statement;
2x+5y= 33 Eqn 1
8x+3y=30 Eqn 2
Multiplying Eqn 1 by 4
[tex]4(2x+5y= 33)\\8x+20y=132\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3;
[tex](8x+20y)-(8x+3y)=132-30\\3x+20y-8x-3y=102\\17y=102[/tex]
Dividing both sides by 17;
[tex]\frac{17y}{17}=\frac{102}{17}\\y=6[/tex]
Putting y=6 in Eqn 1
[tex]2x+5(6)=33\\2x+30=33\\2x=33-30\\2x=3[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{3}{2}\\x=1.5[/tex]
The rental cost of one movie is $1.5 and one video game costs $6.
Keywords: linear equation, elimination method
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