Question

The product of three less than a number and eight is nine

Answer 1

[see below]

Explanation:

Three less than a number (x) would be: x - 3

"The product of three less than a number and eight" would be 8(x-3).

The product of three less than a number and eight is nine would be:

8(x-3) = 9

`8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\(8x = 33)/(8)\\\\x = (33)/(8)`

Hope this helps.

Answer 2

Let n = the number
(n-3)(8)=9
Multiply
8n-23=9
Add 23 to both sides
8n=32
Divide by 8 on both sides
n=4