Answer:
The answer is:
![\left[\begin{array}{ccc}-29&-16\\14&15\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-29%26-16%5C%5C14%2615%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
(Presuming you wanted to add these)
From the image that is given/shown, this is matrices.
In matrices, the numbers will somewhat correlate with each other!
From what is stated, "Find 3M + 7N"
We must substitute in M and N for the pair of matrices that are given:
M =
and N = ![\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%26-1%5C%5C2%269%5C%5C%5Cend%7Barray%7D%5Cright%5D)
You will then be left with:
3
+ 7
when then need to add these together:
1) First Multiply the matrix by 3, you'll get:
![\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + 7\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-9%5C%5C0%2618%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B%207%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%26-1%5C%5C2%269%5C%5C%5Cend%7Barray%7D%5Cright%5D)
(Each number in the matrix is being multiplied by the values: 3 or 7)
2) Then Multiply the matrix by 7, and you'll get:
![\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + \left[\begin{array}{ccc}-35&-7\\14&63\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-9%5C%5C0%2618%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-35%26-7%5C%5C14%2663%5C%5C%5Cend%7Barray%7D%5Cright%5D)
3) Add the matrices:
![\left[\begin{array}{ccc}6+(-35)&-9+(-7)\\0+(14)&18+(63)\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%2B%28-35%29%26-9%2B%28-7%29%5C%5C0%2B%2814%29%2618%2B%2863%29%5C%5C%5Cend%7Barray%7D%5Cright%5D)
6 - 35 = -29
-9 - 7 = -16
0 + 14 = 14
18 + 63 = 81
After solving the matrices, you get:
![\left[\begin{array}{ccc}-29&-16\\14&15\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-29%26-16%5C%5C14%2615%5Cend%7Barray%7D%5Cright%5D)