Answer:
option B
Step-by-step explanation:
Step 1
A + B = C
[tex]A=\left[\begin{array}{ccc}8&-3\\3&y+2\end{array}\right][/tex][tex]+B=\left[\begin{array}{ccc}3x&z+4\\w&1/2y\end{array}\right][/tex]
=
[tex]C=\left[\begin{array}{ccc}x&2z\\4&y\end{array}\right][/tex]
Step 2
[tex]\left[\begin{array}{ccc}8+3x&-3+z+4\\3+w&y+2+y/2\end{array}\right][/tex][tex]=\left[\begin{array}{ccc}x&2z\\4&y\end{array}\right][/tex]
Step 3
4 equations are form
Equation 1
8 + 3x = x
8 = -2x
x = -4
Equation 2
-3 + z + 4 = 2z
1 + z = 2z
1 = z
z = 1
Equation 3
3 + w = 4
w = 1
Equation 4
y + 2 + y/2 = y
2 + y/2 = 0
4 + y = 0
y = -4
Step 4
[tex]\left[\begin{array}{ccc}3(-4)&1+4\\1&1(-4)/2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-12&5\\1&-2\end{array}\right][/tex]
