Join IDNLearn.com and start exploring the answers to your most pressing questions. Our experts are available to provide in-depth and trustworthy answers to any questions you may have.
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.
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.