Answer: The cost of the video game (x) is $48.50 and the cost of the controller (y) is $27.50
Step-by-step explanation:
A video game (X) costs $21 more than a controller (y), this is (y+21=x). Together, the video game and the controller cost $76 (x+y=76). Determine the cost of x of the controller. What is the cost of the game?
We have to find x and y.
Our equations are:
[tex]x=y+21\\x+y=76[/tex]
We can replace x in the second equation by our respective value of x shown in the first equation.
[tex]x+y=76\\(y+21)+y=76\\y+21+y=76\\2y=76-21\\2y=55\\y=\frac{55}{2}\\ y=27.50[/tex]
Now replace to find x.
[tex]x+y=76\\x=76-y\\x=76-27.50\\ x=48.50[/tex]
