Sam has a collection of yellow and red cards. Yellow cards are worth 3 points and red cards are worth 5 points. He has at most 15 cards, totaling at least 45 points.
This can be modeled by the following system.

y + r < 15
3y + 5r > 45

Graph the system. Then use the graph to determine which combination is a
solution.
1. 3 yellow and 9 red
2. 6 yellow and 4 red
3. 9 yellow and 3 red
4. 12 yellow and 8 red

1.

1. 3 yellow and 9 red

Step-by-step explanation:

In the picture attached, the system is represented. The darker area shows all the points that are a solution to the system of inequalities.

The combinations can be rewritten as a coordinate pair, as follows:

1. 3 yellow and 9 red  -> (9,3)

2. 6 yellow and 4 red  -> (4,6)

3. 9 yellow and 3 red  -> (3,9)

4. 12 yellow and 8 red -> (8,12)

As we can see in the picture, only the first option is a solution.

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this