Answer:
The system has infinite solutions described in the set 
Step-by-step explanation:
The augmented matrix of the system is ![\left[\begin{array}{cccc}-1&-1&-1&4\\2&1&0&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%26-1%26-1%264%5C%5C2%261%260%262%5Cend%7Barray%7D%5Cright%5D)
.
We apply row operations:
1. We add the first row to the second row twice and obtain the matrix ![\left[\begin{array}{cccc}-1&-1&-1&4\\0&-1&-2&10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-1%26-1%26-1%264%5C%5C0%26-1%26-2%2610%5Cend%7Barray%7D%5Cright%5D)
2. multiply by -1 the rows of the previous matrix and obtain the matrix ![\left[\begin{array}{cccc}1&1&1&-4\\0&1&2&-10\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%261%261%26-4%5C%5C0%261%262%26-10%5Cend%7Barray%7D%5Cright%5D)
that is the reduced echelon form of the matrix associated to the system.
Now we aply backward substitution:
1. Observe that the reduced echelon form has a free variable, then the system has infinite solutions.
2.
3.
.
Then the set of solutions is
The answer is c…the slope is 2
Answer: 1 ⁸/₂₁ litres
Step-by-step explanation:
First find a common multiple to enable you add them up:
= 21
21 will be the denominator.
Multiply each numerator by the number you get when you divide 21 by the denominator.
= 21/3 = 7
= 7 * 2 = 14
= 21/7 = 3
= 3 * 5
= 15
litres
Answer:
N(-2) = 
-5 this is also equal to n=2.5
Step-by-step explanation:
multiply both sides by 2
-4n = -2n-5
add 2n to both sides
-2n = -5
divide both sides by -2
n=2.5
4^4square root 2 is the answer
