Solve for the unknown number in the following expressions. \( \begin{array}{l}\text { a. } y \div 6=7 \text { R } 2 \\ \text { b. } 30 \div x=7 \text { R } 2 \\ \text { a. } y=\square\end{array} \)

To determine the unknown number, let’s solve each expression step by step! For the first expression, \( y \div 6 = 7 \text{ R } 2 \), it tells us that when \( y \) is divided by 6, the quotient is 7 and the remainder is 2. This can be expressed as: \[ y = 6 \times 7 + 2 \] Calculating that gives: \[ y = 42 + 2 = 44 \] Now for the second expression, \( 30 \div x = 7 \text{ R } 2 \). It similarly tells us that when 30 is divided by \( x \), the quotient is 7 and the remainder is 2. This can be expressed as: \[ 30 = x \times 7 + 2 \] Rearranging this gives: \[ 30 - 2 = 7x \] \[ 28 = 7x \] \[ x = \frac{28}{7} = 4 \] So, the solutions are \( y = 44 \) and \( x = 4 \).