Question

Three subtracted from eight times a number is 85. What is the number?A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use x as your variable.The equation is B) Solve your equation in part [A] for x. Answer: x=

Answer 1

Algebraically, 'eight times a number' is written 8x; on the other hand, 'three subtracted from eight times a number' is 8x-3. Therefore, the whole expression is

`8x-3=85`

The answer to part A) is 8x-3=85

B) Solving the equation in part A) for x,

`\begin{gathered} \Rightarrow8x=85+3=88 \\ \Rightarrow x=(88)/(8)=11 \\ \Rightarrow x=11 \end{gathered}`

The answer to part B) is x=11.