Your system of equations is
![\left[ \begin{array}{ccc}1&1&0\\2&0&-1\\0&1&-3\end{array}\right]\cdot \left[ \begin{array}{c}x\\y\\z\end{array} \right] = \left[ \begin{array}{c}10\\9\\-5\end{array} \right]](https://tex.z-dn.net/?f=%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C2%260%26-1%5C%5C0%261%26-3%5Cend%7Barray%7D%5Cright%5D%5Ccdot%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%20%5Cright%5D%20%3D%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C9%5C%5C-5%5Cend%7Barray%7D%20%5Cright%5D)
Then the solution is
![\left[ \begin{array}{c}x\\y\\z\end{array} \right] = \left[ \begin{array}{ccc}1&1&0\\2&0&-1\\0&1&-3\end{array}\right]^{-1}\cdot \left[ \begin{array}{c}10\\9\\-5\end{array} \right]](https://tex.z-dn.net/?f=%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%20%5Cright%5D%20%3D%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bccc%7D1%261%260%5C%5C2%260%26-1%5C%5C0%261%26-3%5Cend%7Barray%7D%5Cright%5D%5E%7B-1%7D%5Ccdot%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C9%5C%5C-5%5Cend%7Barray%7D%20%5Cright%5D)
Your graphing calculator or any of several web sites can compute the inverse matrix for you.
![\left[ \begin{array}{c}x\\y\\z\end{array} \right] = \dfrac{1}{7}\cdot \left[ \begin{array}{ccc}1&3&-1\\6&-3&1\\2&-1&-2\end{array}\right]\cdot \left[ \begin{array}{c}10\\9\\-5\end{array} \right] = \left[ \begin{array}{c}6\\4\\3\end{array} \right]](https://tex.z-dn.net/?f=%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%20%5Cright%5D%20%3D%20%5Cdfrac%7B1%7D%7B7%7D%5Ccdot%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bccc%7D1%263%26-1%5C%5C6%26-3%261%5C%5C2%26-1%26-2%5Cend%7Barray%7D%5Cright%5D%5Ccdot%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bc%7D10%5C%5C9%5C%5C-5%5Cend%7Barray%7D%20%5Cright%5D%20%3D%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bc%7D6%5C%5C4%5C%5C3%5Cend%7Barray%7D%20%5Cright%5D)
The solution is (x, y, z) = (6, 4, 3).
Answer:
no you are definetly not allowed
Step-by-step explanation:
because if you dont have a brain you are certainly not educated
The ratio of length for both triangle is 4 .
thus ,
5*4 = 20
3x + 8 = 20
x = 4
28 / 4 = 7
y + 5 = 7
y = 2
3 1/4 inches long,
1/2 inch in 1 month1 inch in 2 months
The answer is, 3 1/4 inches + 1 inch = 4 1/4
The formula is X=8. hope it helps