Question

Write an equation in terms of acts that represents the given statement solve the problem. Six decreased by the product of a number and six is equal to 36 find the number

Answer 1

Let the unknown number be x.

The product of a number x and 6 can be written as a math expression as:

$\begin{gathered} 6\times x \\ =6x \end{gathered}$

Six decreased by the product of a number and 6 is written as:

$6-6x$

Since it is said that this expression equals 36, it follows that:

$6-6x=36$

Solve the equation for x:

$\begin{gathered} 6-6x=36 \\ \text{Subtract 6 from both sides:} \\ -6x=36-6 \\ -6x=30 \\ \text{Divide both sides of the equation by -6} \\ \frac{-6x}{-6}=\frac{30}{-6} \\ x=-5 \end{gathered}$

Hence, the equation that represents the given statement is:

$6-6x=36$

The solution to the equation is x=-5.