Question

How do I set
c+t+v=366, 2t=v &186+v=c
as a matrices?

Answer 1

First, get all equations in standard form

2t=v ---> 0c + 2t - v = 0


186+v=c ---> c + 0t -v = 186


Now collect the coefficients and write them down in matrix form to get

1 1 1 366
0 2 -1 0
1 0 -1 186

Answer 2

Thanks but when it says 186 more c than v, it means "196+v=c" right?

Answer 3

I think you mean 186+v = c, if so, you're right


but you have to get the equations into standard form

Answer 4

cant i just do that once I plug in the answer? Cause that up there looks like something my teacher did on the board but I turned in. :/

Answer 5

but if you want to place those equations in matrix form, you have to get them all in standard form first


from there, you can row reduce to get the answer

Answer 6

Okay, thanks. :) Since you're good with this, can you please help me with the other one.

Answer 7

sure, what's the question

Answer 8

Thanks, okay

A theater group will perform 4 shows of its latest production. Each ticket for Friday or Saturday evening will cost $10. Each ticket for Saturday and Sunday matinee will cost $7. Write a matrix to organize this information

Answer 9

Are the totals given as well?

Answer 10

No.

Answer 11

Let

x = # of tickets sold for Friday evening
y = # of tickets sold for Saturday evening
z = # of tickets sold for Saturday matinee
w = # of tickets sold for Sunday matinee


So because "each ticket for Friday or Saturday evening will cost $10", we know that


10x+10y = c


where c is the total cost for the evening shows


and since "Each ticket for Saturday and Sunday matinee will cost $7", we can say that


7z+7w = d


where d is the total cost for the matinee shows


Now convert each equation to standard form to get


10x+10y+0z+0w = c
0x+0y+7z+7w = d


So the system converts to the following matrix


10 10 0 0 c
0 0 7 7 d

Answer 12

unfortunately, we cannot solve this because we do not have enough info

Answer 13

Thank you. :)