To find the number [tex]\( x \)[/tex] where 9 subtracted from the quotient of [tex]\( x \)[/tex] and 4 is 5, follow these steps:
1. Set up the equation:
Given that 9 subtracted from the quotient of [tex]\( x \)[/tex] and 4 is 5, we write:
[tex]\[
\frac{x}{4} - 9 = 5
\][/tex]
2. Isolate the quotient term:
Add 9 to both sides of the equation to eliminate the -9 on the left side:
[tex]\[
\frac{x}{4} - 9 + 9 = 5 + 9
\][/tex]
Simplifying this, we get:
[tex]\[
\frac{x}{4} = 14
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
Multiply both sides of the equation by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[
4 \cdot \frac{x}{4} = 14 \cdot 4
\][/tex]
This simplifies to:
[tex]\[
x = 56
\][/tex]
So, the number is [tex]\( x = 56 \)[/tex].
