One month david rented 9 movies and 7 video games for a total of $63 . the next month he rented 3 movies and 5 video games for a total of $39 . find the rental cost for each movie and each video game.

I am not totally sure how to do this question, but I am going to try my best.

First you have to have variables. So lets make movies be x and video games be u. Now we are going to make 2 equations using these variables.

9x+7u=63 (Equation 1)

3x+5u=39 (Equation 2)

Now, we want both x numbers to be equal. We are going to multiply equation 2 by 3. 3x*3=9x. 5u*3=15u. 39*3=117.

Our new equations are

9x+7u=63 (Equation 1)

9x+15u=117 (Equation 2)

Subtract equation 1 from equation 2.

(9x+15u=117)-(9x+7u=63)=8u=54

Our new equation is 8u=54.

Now we are going to divide 8 from both sides.

Our equation for u is u=6.75.

Now we have to find the price of movies.

We are gonna use both equations, but only 1 for now.

9x+7u=63. We know that u=6.75, so we are going to substitute 6.75 for u.

9x+7(6.75)=63.

Multiply 7 and 6.75. 9x+47.25=63.

Subtract 47.25 from both sides. 9x=15.75

We are gonna divide both sides by 9. x=1.75.

Final step is to check our work. We are gonna do this by using the second equation. If we did everything right then our total will be 39, and both sides will be equal.

3x+5u=39

3(1.75)+5(6.75)=39

5.25+5(6.75)=39

5.25+33.75=39

39=39

So, in this case, the amount each movie costed was $1.75 and the amount each video game costed was $6.75.

I hope this helps, and if you need any further help, just ask.

d

step-by-step explanation:

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take good notes.

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note: the best i know.