I NEED HELP ASAP WILL MARK BRAINLIST. NOTE: EVERYTHING IS ALREADY ANSWERD ALL I NEED HELP WITH IS QUESTION 8 AND 9 PLEASE 5.3.4Journal:Two-Variable Systems: Elimination

I answered everything for anyone who nees it but I only need help with question 8 and 9

1. What do x and y represent in this situation? (2 points: 1 point for each variable)

X represents the individual acts and Y is for the group acts.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not. (2 points: 1 point for yes/no answer, 1 for explanation

Yes, I do agree with the classmate equation. Each scenario describes how the individual and group group acts have a certain amount of time and how they respect it. The time they have is either for 120 minutes or 30 minutes plus, their sum totalizing the whole period.

3. To combine the equations and solve for one of the variables, you need to eliminate the other variable. How can you change one equation so that one variable is eliminated when the two equations are added? Explain and write the new equation. (3 points: 2 for your explanation and 1 for the equation)
4. Combine the two equations to eliminate one of the variables, and then solve for the other. (3 points: 1 for eliminating one variable, 1 for the answer, and 1 for showing your work)
5. Solve for the other variable. (2 points: 1 point for the answer, 1 for showing the work)
6. Prove that your solutions are correct by substituting the values back into the original equations and verifying the answers. (2 points)

I will answer 3,4,5 and 6 all together.

Enable to answer the question we need to follow the system of equations:
12x+6y=120 and 4x+y=30.
So now that we know our solutions we need to multiply the second equation by -3.
12x+6y=120 and -12x-3y=-90
Now we add both equations
12x- 12x + 6y- 3y= 120-90
3y=-30 
y=10
This time let's find the value of "x" 
4x+y= 304x+ 10= 30
4x=30-10
x= 20/4
X=5
Now that we have both values of x and y (5,10) we should make sure it's correct.
12(5)+6(10)=120
60+60=120
120=120
And
4(5)+10=30
20+10=30
30=30
Now that it's verified our final answer is (5,10).

Another way to check your answer is with graphing. The two equations are graphed below.

7. What are the coordinates of the intersection point? Does this match your answer from question 4? (2 points: 1 point each question)

The coordinated point is 5,10 which matches my answer perfectly. 

THE QUESTION I NEED HELP WITH:

8. Answer the original questions. (2 points: 1 point each question)
a) How long is each individual act?

b) How long is each group act?

9. Discussion.
Discuss the reasonableness of your answers. (2 points: 1 point for each part)

a) Is the answer you found reasonable? Does it seem like enough time?

b) Would a negative solution such as (–5, –10) be acceptable in this situation? Why or why not?