x = 30
Step-by-step explanation:
If you write out the equation, "The quotient of a number and five equals nine less than one half of the number." Then you get the equation:
[tex]\frac{x}{5} = \frac{1}{2}x - 9[/tex]
First get rid of the denominator. Multiply by a least common multiple. (10) Then you have:
[tex]2x = 5x - 90[/tex]
Get the variable on one side by subtracting 2x from both sides:
[tex]0 = 3x - 90[/tex]
Add 90 to both sides:
[tex]90 = 3x[/tex]
Divide by 3 on both sides:
[tex]30 = x[/tex]
