Question

7)Solve s = n(a + 1) for a

Answer 1

Given the following equation:

`s=n\mleft(a+1\mright)`

You can follow these steps in order to solve for "a":

1. According to the Distributive property, you know that:

`\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}`

Then you must apply the Distributive property by multiplying the terms inside the parentheses by "n":

`\begin{gathered} s=(n)(a)+(n)(1) \\ s=na+n \end{gathered}`

2. Apply the Subtraction property of equality by subtracting "n" from both sides of the equation:

`\begin{gathered} s-(n)=na+n-(n) \\ s-n=na \\ \end{gathered}`

3. Apply the Division property of equality by dividing both sides of the equation by "n":

`\begin{gathered} (s-n)/(n)=a \\ \\ a=(s-n)/(n) \end{gathered}`

The answer is:

`a=(s-n)/(n)`