Steve bought used and new video games from a website. The new games cost $54 each and the used games cost $9 each. He spent no more than $243 on the video games and he bought no more than 7 video games. Let x represent the number of new video games, and let y represent the number of used video games. Identify an ordered pair that is a solution to the system of inequalities. Interpret the meaning of the ordered pair within the context of the problem by selecting the appropriate explanation.

y = 3 used games

x = 4 new games

Step-by-step explanation:

54x + 9y = 243

x + y = 7   then x = 7 - y

substitute for x:

54(7 - y) + 9y = 243

378 - 54y + 9y = 243

reduce:

378 - 45y = 243

subtract 243 from each side:

135 - 45y = 0

add 45y to each side:

45y = 135

divide both sides by 45:

y = 3

x = 7 - 3 = 4

check:

3+4 = 7

7 = 7

54(4) + 9(3) = 243

243 = 243

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

i want to die

what the hell man, i just want the points lol