Question

Write and solve an equation based off the verbal phrase. The sum of x and 9 is divided by 2. That quantity is equal to 3x.

Answer 1

Start with the sum of x and 9, giving the expression

`x + 9`
This is divided by 2 so

`(x + 9)/(2)`
This equals 3x so the equation is

`(x + 9)/(2) = 3x`
This can the be solved.
Multiply both sides by 2 to get

`x + 9 = 6x`
Then take x from both sides

`9 = 5x`
Divide by 5 to get the value for x

`1.8 = x`