Chapter 0.5, Problem 22E

To determine

To solve the equation $9n+4=5n+18$

Answer to Problem 22E

  $n=\frac{7}{2}$

Explanation of Solution

Given Information: $9n+4=5n+18$

Formula Used : Linear equations with one variable

Calculation:

Given equation is

  $9n+4=5n+18$

To bring the variable t together, subtract 5n from both side-

  $9n-5n+4=5n-5n+18$

This gives

  $4n+4=18$

To simplify further, subtracting 4 both side-

  $4n+4-4=18-4$

This gives

  $4n=14$

To isolate the variable n, divide by 4 from both sides-

  $\frac{4}{4}n=\frac{14}{4}$

To simplify further, writing 14 and 4 as its factors-

  $n=\frac{2\times 7}{2\times 2}$

Hence the final answer is-

  $n=\frac{7}{2}$