Question

If 

then the value of \( x - y \) is:

• A. 1
• B. 3
• C. 5
• D. 10
• E. 20

Hint:

For matrix addition, sum the corresponding elements and equate them to solve for unknown variables.

Answer 1

The Correct Option is D

Adding the matrices on the left-hand side: \[ \begin{bmatrix} 3 + 1 & 4 + y \\ 5 + 0 & x + 1 \end{bmatrix} = \begin{bmatrix} 7 & 0 \\ 10 & 5 \end{bmatrix} \] Comparing corresponding elements: \[ 4 + y = 0 \Rightarrow y = -4 \] \[ x + 1 = 5 \Rightarrow x = 4 \] Thus, \[ x - y = 4 - (-4) = 4 + 4 = 10 \]