Evaluate the following. \[ 5+2 \times 7-9 \div 3 \]

To evaluate the expression \( 5 + 2 \times 7 - 9 \div 3 \), we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). 1. First, we handle the multiplication and division: \[ 2 \times 7 = 14 \] \[ 9 \div 3 = 3 \] 2. Now, we substitute these values back into the expression: \[ 5 + 14 - 3 \] 3. Next, we perform the addition and subtraction from left to right: \[ 5 + 14 = 19 \] \[ 19 - 3 = 16 \] Thus, the evaluated result is: \[ \boxed{16} \]