Find values for the variables so that the following matrices are equal. \[ \left[\begin{array}{rr} x & 5 y \\ z & 3 \end{array}\right]=\left[\begin{array}{ll} 16 & 5 \\ 17 & 3 \end{array}\right] \] \[ x= \] (Simplify your answer.)

Step 1 ：Set up the following equations from the matrices: \(x = 16\), \(5y = 5\), and \(z = 17\).

Step 2 ：Solve the equations to find the values of x, y, and z.

Step 3 ：From \(x = 16\), we find that \(x = 16\).

Step 4 ：From \(5y = 5\), we can divide both sides by 5 to find that \(y = 1\).

Step 5 ：From \(z = 17\), we find that \(z = 17\).

Step 6 ：\(\boxed{x = 16, y = 1, z = 17}\) are the solutions to the equations. Therefore, the values for the variables that make the two matrices equal are \(x = 16\), \(y = 1\), and \(z = 17\).