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Sagot :
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)
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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