To create a division equation that has the solution [tex]\( x = 16 \)[/tex], follow these steps:
1. Choose a Dividend and a Divisor:
- We need to find two numbers, [tex]\( a \)[/tex] and [tex]\( b \)[/tex], such that when we divide [tex]\( a \)[/tex] by [tex]\( b \)[/tex], the quotient is 16.
- Let [tex]\( a = 32 \)[/tex] and [tex]\( b = 2 \)[/tex].
2. Form the Division Equation:
- By placing [tex]\( a \)[/tex] as the numerator and [tex]\( b \)[/tex] as the denominator, we get the equation [tex]\( \frac{a}{b} \)[/tex].
3. Verify the Solution:
- Perform the division to check if it indeed equals 16:
[tex]\[
\frac{32}{2} = 16
\][/tex]
Thus, we have verified that the division equation [tex]\( \frac{32}{2} = 16 \)[/tex] is correct, and therefore, [tex]\( x = 16 \)[/tex].
