Question

Need help with this problem.

Answer 1

Answer:

The system is x + y = 7 and 2x + 4y = 22.

In slope-intercept form, the system is

y = -x + 7 and y = -0.5x + 5.5

Step-by-step explanation:

x games of bowling and y games of laser tag means there are x + y games in total.  He wants to play 7 games in total, so one equation is

x + y = 7

$2 spent on each game of bowling means amount spent on games of bowling is 2x dollars.  Same way, amount spent on laser tag is 4y dollars.  So total spent is 2x + 4y dollars.  He spends 22 dollars, so the other equation is

2x + 4y = 22

For the second part, just need to rewrite these as y = mx + c.

x + y = 7  =>  y = -x + 7

2x + 4y = 22  =>  4y = -2x + 22  =>  y = -0.5x + 5.5