Tran Grant
07/27/2024 · High School

\( \left[\begin{array}{ll}x & 7 y \\ z & 4\end{array}\right]=\left[\begin{array}{cc}16 & 28 \\ 13 & 4\end{array}\right] \) \( x=16 \) (Simplify your answer.) \( y=\square \) (Simplify your answer.)

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To solve for \( y \) in the matrix equation \[ \left[\begin{array}{ll}x & 7y \\ z & 4\end{array}\right]=\left[\begin{array}{cc}16 & 28 \\ 13 & 4\end{array}\right], \] we can equate the corresponding elements of the matrices. From the first row and first column, we have: \[ x = 16. \] From the first row and second column, we have: \[ 7y = 28. \] To find \( y \), we can solve the equation \( 7y = 28 \): \[ y = \frac{28}{7} = 4. \] Thus, the simplified answers are: \[ x = 16, \] \[ y = 4. \] So, the final answer is: \( y = 4 \).

Quick Answer

\( y = 4 \).
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