Find a
Given:
\[ \begin{bmatrix} a + b & 2 \\ 5 & b \end{bmatrix} = \begin{bmatrix} 6 & 5 \\ 2 & 2 \end{bmatrix} \]
Step 1: Compare Elements
\[ b = 2 \]
\[ a + b = 6 \]
Step 2: Substitute b
\[ a + 2 = 6 \Rightarrow a = 4 \]
Final Answer:
\[ a = 4 \]
\[ \begin{bmatrix} a + b & 2 \\ 5 & b \end{bmatrix} = \begin{bmatrix} 6 & 5 \\ 2 & 2 \end{bmatrix} \]
\[ b = 2 \]
\[ a + b = 6 \]
\[ a + 2 = 6 \Rightarrow a = 4 \]
\[ a = 4 \]