Solve for the unknown number in the following expressions. a. \( y \div 3=4 R 2 \) b. \( 33 \div x=4 R 5 \) a. \( y=14 \) b. \( x=\square \)
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To find the unknown number in the first expression, we have \( y \div 3 = 4 R 2 \). This means when you divide \( y \) by 3, the quotient is 4 with a remainder of 2. So, you can express \( y \) as \( y = 3 \times 4 + 2 = 12 + 2 = 14 \). Now, for the second expression, \( 33 \div x = 4 R 5 \), it indicates that when \( 33 \) is divided by \( x \), the quotient is 4 with a remainder of 5. This can be rewritten as \( 33 = 4x + 5 \). By rearranging, we get \( 33 - 5 = 4x \) which simplifies to \( 28 = 4x \). Dividing by 4 gives \( x = 7 \). Therefore, the unknown values are \( y = 14 \) and \( x = 7 \).