Answer:
The answer is the option 
Step-by-step explanation:
see the attached figure with letters to better understand the problem
we know that

-----> by vertical angles
-----> given problem
-----> given problem
substitute

Answer:
The equation is
6x + 12y = 48
Step-by-step explanation:
Standard form another way of writing a linear equation. It is in the form
Ax + By = C
Total amount with Samantha = $48
Single player games = $6 each
Multi player games = $12 each
Let
Number of Single player games = x
Number of Multi player games = y
The number of single player games (x) and the number of multi player games (y) Samantha can buy is
6x + 12y = 48
That is price × quantity of single player games + price × quantity of multi player games = Total amount with Samantha
To do this problem, you gotta cross-multiply. SO,

multiplied by

12 times 14 = 168
21 times 3 = 63
Then the final answer is
f(x) is a linear function with no restrictions
Domain: x = All real numbers
Range: y = All real numbers