Let's see what it would take to win that trip to Hawaii. Remember that you think you'll respond to 12 questions and hope to score 600 points to win,
although it's possible to score even more points or many fewer (including negative scores!) on
the show.
Here are the equations you wrote to model your winning scenario:
x+y=12
100x - 200y = 600
Are the boundaries of the first equation viable in the second equation? What does this
suggest about your plan to score 600 points?
Select the two correct statements.

No

              At least 10 correct answers and no more than 2 wrong answers.

Step-by-step explanation:

Are the boundaries of the first equation viable in the second equation?

The boundaries of x + y = 12 are: (0, 12) & (12, 0)

Input those solutions into 100x - 200y = 600 to check for true statements:

               x        y             100x - 200y      

(0, 12)       0         12           100(0) - 200(12) = -2400 ≠600    <-- not viable

(12, 0)      12         0            100(12) - 200(0) = 1200 ≠600     <-- not viable        

The boundaries of the first equation are possible scores but NOT valid in the second equation.

Solve the system of equations:

100x - 200y = 600   →   1(100x - 200y = 600)   →   100x - 200y =   600

      x +  y =   12         →  200( x + y = 12)             →  200x + 200y = 2400  

                                                                                300x              = 3000

                                                                                                   x = 10

Input x = 10 to solve for y:

x + y = 12

10 + y = 12

       y = 2

You must get 10 correct answers and 2 wrong answers to achieve a score of exactly 600.

If you get more than 10 correct answers, your score will be greater than 600 and you would still win.

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.