What is x when 19 divided by x equals 5?
In other words, what would the divisor be if the dividend were 19 and the quotient 5?
To find the answer, just divide the dividend by the quotient: 19 ÷ 5 = 3.8
To prove this, let's compute 19 divided by 3.8:
How does it work?
Asking what the value of x could be when 19 divided by x gives a result of 5, is equivalent to solving the following equation:
- Multiply both sides by x:
- is equivalent to , which simplifies to (or just ).
- Thus, the equation becomes:
- To find x, divide both sides by 5:
- Which gives, after simplification: (or )
So, if the dividend is 19 and the quotient is 5, the divisor is 3.8.