One week Jenna rented 4 DVDs and 2 Video Games for $18, the next week she rented 2 DVDs and 1 video game for 9$. Find the rental costs for each video game and DVD. Explain you answer.

Question

Mathematics

Adrianna

6 October, 10:55

One week Jenna rented 4 DVDs and 2 Video Games for $18, the next week she rented 2 DVDs and 1 video game for 9$. Find the rental costs for each video game and DVD. Explain you answer.

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Answers (1)

Know the Answer?

Remington Callahan · Answer 1

To do this problem you have to create two equations. one would be 18=4x+3y

an the other would be 9=2x+y. in this eqaution X is the number of DVDs and Y is the number of Video games. Then you solve for Y in the second equation and you get y=-2x+9. After that you then input this equation in for the other equation and you will have 18=4x+3 (-2x+9). you solve for X in this problem and then you take the answer of x and put it in for x in the other equation.

so, 18=4x-6x+27

subtract 27 and add the 4x and - 6x

-9=-2x

x=4.5

after this you put it in the other equation

9=-2 (4.5) + y

multiply the - 2 and 4.5

9=-9+y

add the 9

y=0