Question

Nine fewer than half a number is five more than four times the number. Define a variable, write an equation, solve the number.

Answer 1

n = the number

$\frac{1}{2}n - 9=4n+5 \\ ( \frac{1}{2}n - \frac{1}{2}n)-9=(4n- \frac{1}{2}n)+5 \\ -9=3.5n+5 \\ (-9-5)=3.5n+(5-5) \\ -14=3.5n \\ \frac{-14}{3.5} = \frac{3.5n}{3.5} \\ -4=n$

The number is -4