Answer:
8y+5
Step-by-step explanation:
Combine like terms
2y+6y=8y
8y+5
Answer:
Option (2)
Step-by-step explanation:
Given expression is, AX + B = C
![A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}](https://tex.z-dn.net/?f=A%3D%5Cbegin%7Bbmatrix%7D-3%20%26%20-4%5C%5C%201%20%26%200%5Cend%7Bbmatrix%7D)
![B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}](https://tex.z-dn.net/?f=B%3D%5Cbegin%7Bbmatrix%7D-7%20%26%20-9%5C%5C%204%20%26%20-1%5Cend%7Bbmatrix%7D)
![C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}](https://tex.z-dn.net/?f=C%3D%5Cbegin%7Bbmatrix%7D-42%20%26%20-20%5C%5C%205%20%26%204%5Cend%7Bbmatrix%7D)
AX + B = C
AX = C - B
C - B =
= ![\begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-42%2B7%20%26%20-20%2B9%5C%5C%205-4%20%26%204%2B1%5Cend%7Bbmatrix%7D)
C - B = ![\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-35%20%26%20-11%5C%5C%201%20%26%205%5Cend%7Bbmatrix%7D)
Let ![X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}](https://tex.z-dn.net/?f=X%3D%5Cbegin%7Bbmatrix%7Da%20%26%20b%5C%5C%20c%20%26%20d%5Cend%7Bbmatrix%7D)
AX =
= ![\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%28-3a-4c%29%20%26%20%28-3b-4d%29%5C%5C%20a%20%26%20b%5Cend%7Bbmatrix%7D)
Since AX = C - B
![\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%28-3a-4c%29%20%26%20%28-3b-4d%29%5C%5C%20a%20%26%20b%5Cend%7Bbmatrix%7D%3D%5Cbegin%7Bbmatrix%7D-35%20%26%20-11%5C%5C%201%20%26%205%5Cend%7Bbmatrix%7D)
Therefore, a = 1, b = 5
(-3a - 4c) = -35
3(1) + 4c = 35
3 + 4c = 35
4c = 32
c = 8
And (-3b - 4d) = -11
3(5) + 4d = 11
4d = -4
d = -1
Therefore, Option (2). X =
will be the answer.
Answer:
-2
Step-by-step explanation:
x/2=1-2
x/2=-1
x=-2