The augmented matrix is
![\left[\begin{array}{ccccc|c}1&-2&3&2&1&10\\2&-4&8&3&10&7\\3&-6&10&6&5&27\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7Cc%7D1%26-2%263%262%261%2610%5C%5C2%26-4%268%263%2610%267%5C%5C3%26-6%2610%266%265%2627%5Cend%7Barray%7D%5Cright%5D)
Add -2(row 1) to row 2, and add -3(row 1) to row 3:
![\left[\begin{array}{ccccc|c}1&-2&3&2&1&10\\0&0&1&-1&8&-13\\0&0&1&0&2&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7Cc%7D1%26-2%263%262%261%2610%5C%5C0%260%261%26-1%268%26-13%5C%5C0%260%261%260%262%26-3%5Cend%7Barray%7D%5Cright%5D)
Add -1(row 2) to row 3:
![\left[\begin{array}{ccccc|c}1&-2&3&2&1&10\\0&0&1&-1&8&-13\\0&0&0&1&-6&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7Cc%7D1%26-2%263%262%261%2610%5C%5C0%260%261%26-1%268%26-13%5C%5C0%260%260%261%26-6%2610%5Cend%7Barray%7D%5Cright%5D)
Add row 3 to row 2:
![\left[\begin{array}{ccccc|c}1&-2&3&2&1&10\\0&0&1&0&2&-3\\0&0&0&1&-6&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7Cc%7D1%26-2%263%262%261%2610%5C%5C0%260%261%260%262%26-3%5C%5C0%260%260%261%26-6%2610%5Cend%7Barray%7D%5Cright%5D)
Add -3(row 2) to row 1, and add -2(row 3) to row 1:
![\left[\begin{array}{ccccc|c}1&-2&0&0&7&-1\\0&0&1&0&2&-3\\0&0&0&1&-6&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7Cc%7D1%26-2%260%260%267%26-1%5C%5C0%260%261%260%262%26-3%5C%5C0%260%260%261%26-6%2610%5Cend%7Barray%7D%5Cright%5D)
Answer:
a)2*2*2*2*2*2*2*2*2
Step-by-step explanation:
it wouldn't be done 2*9 but exactly how it is written like
2 by the power of 9
We can calcualte the number of blue hats by multiplying the total number of hats (n=48) by the proportion of blue hats (p=25%=0.25).
Then:

There are 12 blue hats.
Answer:

Step-by-step explanation:
Given

![(x + 7) * (\ ) = [\ ]](https://tex.z-dn.net/?f=%28x%20%2B%207%29%20%2A%20%28%5C%20%29%20%3D%20%5B%5C%20%5D)
Required
Complete the blanks
We have:

Rewrite as:

Cross multiply

Answer:
3(x+y)
Step-by-step explanation:
3(x+y)
distribute
3x+3y