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scrublord8710

Answer:

Dvds cost 12 games cost 19.

Step-by-step explanation:

Put the amount of dvds and video games into an equation and assign variables.

3x+2y=74

5x+2y=98

You can solve multiple ways, although I'll do graphing for this equation.

After graphing, you get 2 lines that intersect. The point of intersection is 12,19 meaning that a dvd is 12 (x) and a video game is 19 (y)

hellomiala

DVD = x

video games = y

3 DVD + 2 video games = $74

3x + 2y = 74

5 DVD + 2 video games = $98

5x + 2y = 98

We can easily use eliminations by changing one of the equations, with all variables becoming negative signs, in order to eliminate the variable y.

-(3x + 2y = 74)

-3x -2y = -74

Now add both equations toegther (in order to eliminate the avriable y and solve for x).

5x + 2y = 98

-3x -2y = -74

____________

2x + 0y = 24

2x = 24

x = 12 [A DVD costs $12]

Plug that value for x into one of the equations:

5x + 2y = $98

5(12) + 2y = 98

60 + 2y = 98

2y = 38

y = 19 [A video game costs $19]

ANSWER: a DVD costs $12 and a video game costs $19

choose the third option.

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